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Finding the Fourth Proportional to 531.66, 795.98 and 410.16

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Solution

The fourth proportional to 531.66, 795.98 and 410.16 is: 614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.66 : 795.98 = 410.16 : x
  2. Step 2: Convert to fraction form
    531.66/795.98 = 410.16/x
  3. Step 3: Cross multiply
    531.66x = 795.98 × 410.16
  4. Step 4: Simplify right side
    531.66x = 326,480.86
  5. Step 5: Solve for x
    x = 326,480.86/531.66
  6. Step 6: Final answer
    x = 614.07

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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.