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Finding the Fourth Proportional to 564.06, 779.08 and 424.80

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Solution

The fourth proportional to 564.06, 779.08 and 424.80 is: 586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.06 : 779.08 = 424.80 : x
  2. Step 2: Convert to fraction form
    564.06/779.08 = 424.80/x
  3. Step 3: Cross multiply
    564.06x = 779.08 × 424.80
  4. Step 4: Simplify right side
    564.06x = 330,953.18
  5. Step 5: Solve for x
    x = 330,953.18/564.06
  6. Step 6: Final answer
    x = 586.73

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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.