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Finding the Fourth Proportional to 564.74, 847.45 and 291.02

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Solution

The fourth proportional to 564.74, 847.45 and 291.02 is: 436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.74 : 847.45 = 291.02 : x
  2. Step 2: Convert to fraction form
    564.74/847.45 = 291.02/x
  3. Step 3: Cross multiply
    564.74x = 847.45 × 291.02
  4. Step 4: Simplify right side
    564.74x = 246,625.22
  5. Step 5: Solve for x
    x = 246,625.22/564.74
  6. Step 6: Final answer
    x = 436.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.