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Finding the Fourth Proportional to 564.17, 777.20 and 463.93

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Solution

The fourth proportional to 564.17, 777.20 and 463.93 is: 639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.17 : 777.20 = 463.93 : x
  2. Step 2: Convert to fraction form
    564.17/777.20 = 463.93/x
  3. Step 3: Cross multiply
    564.17x = 777.20 × 463.93
  4. Step 4: Simplify right side
    564.17x = 360,567.56
  5. Step 5: Solve for x
    x = 360,567.56/564.17
  6. Step 6: Final answer
    x = 639.11

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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.