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Finding the Fourth Proportional to 524.38, 785.70 and 402.46

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Solution

The fourth proportional to 524.38, 785.70 and 402.46 is: 603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.38 : 785.70 = 402.46 : x
  2. Step 2: Convert to fraction form
    524.38/785.70 = 402.46/x
  3. Step 3: Cross multiply
    524.38x = 785.70 × 402.46
  4. Step 4: Simplify right side
    524.38x = 316,212.82
  5. Step 5: Solve for x
    x = 316,212.82/524.38
  6. Step 6: Final answer
    x = 603.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.