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Finding the Fourth Proportional to 515.16, 773.30 and 457.76

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Solution

The fourth proportional to 515.16, 773.30 and 457.76 is: 687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.16 : 773.30 = 457.76 : x
  2. Step 2: Convert to fraction form
    515.16/773.30 = 457.76/x
  3. Step 3: Cross multiply
    515.16x = 773.30 × 457.76
  4. Step 4: Simplify right side
    515.16x = 353,985.81
  5. Step 5: Solve for x
    x = 353,985.81/515.16
  6. Step 6: Final answer
    x = 687.14

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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.