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Finding the Fourth Proportional to 586.62, 810.18 and 457.20

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Solution

The fourth proportional to 586.62, 810.18 and 457.20 is: 631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.62 : 810.18 = 457.20 : x
  2. Step 2: Convert to fraction form
    586.62/810.18 = 457.20/x
  3. Step 3: Cross multiply
    586.62x = 810.18 × 457.20
  4. Step 4: Simplify right side
    586.62x = 370,414.30
  5. Step 5: Solve for x
    x = 370,414.30/586.62
  6. Step 6: Final answer
    x = 631.44

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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.