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Finding the Fourth Proportional to 581.49, 801.63 and 462.42

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Solution

The fourth proportional to 581.49, 801.63 and 462.42 is: 637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.49 : 801.63 = 462.42 : x
  2. Step 2: Convert to fraction form
    581.49/801.63 = 462.42/x
  3. Step 3: Cross multiply
    581.49x = 801.63 × 462.42
  4. Step 4: Simplify right side
    581.49x = 370,689.74
  5. Step 5: Solve for x
    x = 370,689.74/581.49
  6. Step 6: Final answer
    x = 637.48

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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.