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Finding the Fourth Proportional to 515.84, 711.84 and 291.78

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Solution

The fourth proportional to 515.84, 711.84 and 291.78 is: 402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 711.84 = 291.78 : x
  2. Step 2: Convert to fraction form
    515.84/711.84 = 291.78/x
  3. Step 3: Cross multiply
    515.84x = 711.84 × 291.78
  4. Step 4: Simplify right side
    515.84x = 207,702.36
  5. Step 5: Solve for x
    x = 207,702.36/515.84
  6. Step 6: Final answer
    x = 402.65

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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.