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Finding the Fourth Proportional to 564.90, 779.25 and 358.02

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Solution

The fourth proportional to 564.90, 779.25 and 358.02 is: 493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.90 : 779.25 = 358.02 : x
  2. Step 2: Convert to fraction form
    564.90/779.25 = 358.02/x
  3. Step 3: Cross multiply
    564.90x = 779.25 × 358.02
  4. Step 4: Simplify right side
    564.90x = 278,987.09
  5. Step 5: Solve for x
    x = 278,987.09/564.90
  6. Step 6: Final answer
    x = 493.87

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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.