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Finding the Fourth Proportional to 598.01, 824.23 and 492.76

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Solution

The fourth proportional to 598.01, 824.23 and 492.76 is: 679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 824.23 = 492.76 : x
  2. Step 2: Convert to fraction form
    598.01/824.23 = 492.76/x
  3. Step 3: Cross multiply
    598.01x = 824.23 × 492.76
  4. Step 4: Simplify right side
    598.01x = 406,144.13
  5. Step 5: Solve for x
    x = 406,144.13/598.01
  6. Step 6: Final answer
    x = 679.16

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.