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Finding the Fourth Proportional to 564.17, 778.03 and 407.84

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Solution

The fourth proportional to 564.17, 778.03 and 407.84 is: 562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.17 : 778.03 = 407.84 : x
  2. Step 2: Convert to fraction form
    564.17/778.03 = 407.84/x
  3. Step 3: Cross multiply
    564.17x = 778.03 × 407.84
  4. Step 4: Simplify right side
    564.17x = 317,312.68
  5. Step 5: Solve for x
    x = 317,312.68/564.17
  6. Step 6: Final answer
    x = 562.44

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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.