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Finding the Fourth Proportional to 515.59, 711.54 and 294.53

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Solution

The fourth proportional to 515.59, 711.54 and 294.53 is: 406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.59 : 711.54 = 294.53 : x
  2. Step 2: Convert to fraction form
    515.59/711.54 = 294.53/x
  3. Step 3: Cross multiply
    515.59x = 711.54 × 294.53
  4. Step 4: Simplify right side
    515.59x = 209,566.32
  5. Step 5: Solve for x
    x = 209,566.32/515.59
  6. Step 6: Final answer
    x = 406.46

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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.