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Finding the Fourth Proportional to 564.63, 778.17 and 433.95

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Solution

The fourth proportional to 564.63, 778.17 and 433.95 is: 598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.63 : 778.17 = 433.95 : x
  2. Step 2: Convert to fraction form
    564.63/778.17 = 433.95/x
  3. Step 3: Cross multiply
    564.63x = 778.17 × 433.95
  4. Step 4: Simplify right side
    564.63x = 337,686.87
  5. Step 5: Solve for x
    x = 337,686.87/564.63
  6. Step 6: Final answer
    x = 598.07

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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.