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Finding the Fourth Proportional to 572.67, 858.06 and 410.13

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Solution

The fourth proportional to 572.67, 858.06 and 410.13 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.67 : 858.06 = 410.13 : x
  2. Step 2: Convert to fraction form
    572.67/858.06 = 410.13/x
  3. Step 3: Cross multiply
    572.67x = 858.06 × 410.13
  4. Step 4: Simplify right side
    572.67x = 351,916.15
  5. Step 5: Solve for x
    x = 351,916.15/572.67
  6. Step 6: Final answer
    x = 614.52

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Why These Related Problems?

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