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Finding the Fourth Proportional to 565.52, 780.50 and 344.60

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Solution

The fourth proportional to 565.52, 780.50 and 344.60 is: 475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.52 : 780.50 = 344.60 : x
  2. Step 2: Convert to fraction form
    565.52/780.50 = 344.60/x
  3. Step 3: Cross multiply
    565.52x = 780.50 × 344.60
  4. Step 4: Simplify right side
    565.52x = 268,960.30
  5. Step 5: Solve for x
    x = 268,960.30/565.52
  6. Step 6: Final answer
    x = 475.60

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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.