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Finding the Fourth Proportional to 563.60, 844.20 and 502.80

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Solution

The fourth proportional to 563.60, 844.20 and 502.80 is: 753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.60 : 844.20 = 502.80 : x
  2. Step 2: Convert to fraction form
    563.60/844.20 = 502.80/x
  3. Step 3: Cross multiply
    563.60x = 844.20 × 502.80
  4. Step 4: Simplify right side
    563.60x = 424,463.76
  5. Step 5: Solve for x
    x = 424,463.76/563.60
  6. Step 6: Final answer
    x = 753.13

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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.