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Finding the Fourth Proportional to 597.08, 824.12 and 345.04

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Solution

The fourth proportional to 597.08, 824.12 and 345.04 is: 476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.08 : 824.12 = 345.04 : x
  2. Step 2: Convert to fraction form
    597.08/824.12 = 345.04/x
  3. Step 3: Cross multiply
    597.08x = 824.12 × 345.04
  4. Step 4: Simplify right side
    597.08x = 284,354.36
  5. Step 5: Solve for x
    x = 284,354.36/597.08
  6. Step 6: Final answer
    x = 476.25

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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.