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Finding the Fourth Proportional to 424.17, 584.69 and 357.75

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Solution

The fourth proportional to 424.17, 584.69 and 357.75 is: 493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.17 : 584.69 = 357.75 : x
  2. Step 2: Convert to fraction form
    424.17/584.69 = 357.75/x
  3. Step 3: Cross multiply
    424.17x = 584.69 × 357.75
  4. Step 4: Simplify right side
    424.17x = 209,171.06
  5. Step 5: Solve for x
    x = 209,171.06/424.17
  6. Step 6: Final answer
    x = 493.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.