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Finding the Fourth Proportional to 504.48, 696.23 and 283.42

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Solution

The fourth proportional to 504.48, 696.23 and 283.42 is: 391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.48 : 696.23 = 283.42 : x
  2. Step 2: Convert to fraction form
    504.48/696.23 = 283.42/x
  3. Step 3: Cross multiply
    504.48x = 696.23 × 283.42
  4. Step 4: Simplify right side
    504.48x = 197,325.51
  5. Step 5: Solve for x
    x = 197,325.51/504.48
  6. Step 6: Final answer
    x = 391.15

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Double scale
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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.