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Finding the Fourth Proportional to 531.68, 798.02 and 416.84

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Solution

The fourth proportional to 531.68, 798.02 and 416.84 is: 625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.68 : 798.02 = 416.84 : x
  2. Step 2: Convert to fraction form
    531.68/798.02 = 416.84/x
  3. Step 3: Cross multiply
    531.68x = 798.02 × 416.84
  4. Step 4: Simplify right side
    531.68x = 332,646.66
  5. Step 5: Solve for x
    x = 332,646.66/531.68
  6. Step 6: Final answer
    x = 625.65

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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.