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Finding the Fourth Proportional to 563.46, 775.02 and 463.16

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Solution

The fourth proportional to 563.46, 775.02 and 463.16 is: 637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.46 : 775.02 = 463.16 : x
  2. Step 2: Convert to fraction form
    563.46/775.02 = 463.16/x
  3. Step 3: Cross multiply
    563.46x = 775.02 × 463.16
  4. Step 4: Simplify right side
    563.46x = 358,958.26
  5. Step 5: Solve for x
    x = 358,958.26/563.46
  6. Step 6: Final answer
    x = 637.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.