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Finding the Fourth Proportional to 592.62, 817.10 and 415.68

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Solution

The fourth proportional to 592.62, 817.10 and 415.68 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 817.10 = 415.68 : x
  2. Step 2: Convert to fraction form
    592.62/817.10 = 415.68/x
  3. Step 3: Cross multiply
    592.62x = 817.10 × 415.68
  4. Step 4: Simplify right side
    592.62x = 339,655.48
  5. Step 5: Solve for x
    x = 339,655.48/592.62
  6. Step 6: Final answer
    x = 573.15

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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.