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Finding the Fourth Proportional to 515.66, 772.40 and 478.94

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Solution

The fourth proportional to 515.66, 772.40 and 478.94 is: 717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.66 : 772.40 = 478.94 : x
  2. Step 2: Convert to fraction form
    515.66/772.40 = 478.94/x
  3. Step 3: Cross multiply
    515.66x = 772.40 × 478.94
  4. Step 4: Simplify right side
    515.66x = 369,933.26
  5. Step 5: Solve for x
    x = 369,933.26/515.66
  6. Step 6: Final answer
    x = 717.40

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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.