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Finding the Fourth Proportional to 564.92, 779.54 and 332

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Solution

The fourth proportional to 564.92, 779.54 and 332 is: 458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.92 : 779.54 = 332 : x
  2. Step 2: Convert to fraction form
    564.92/779.54 = 332/x
  3. Step 3: Cross multiply
    564.92x = 779.54 × 332
  4. Step 4: Simplify right side
    564.92x = 258,807.28
  5. Step 5: Solve for x
    x = 258,807.28/564.92
  6. Step 6: Final answer
    x = 458.13

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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.