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Finding the Fourth Proportional to 565.67, 847.74 and 488.32

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Solution

The fourth proportional to 565.67, 847.74 and 488.32 is: 731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.67 : 847.74 = 488.32 : x
  2. Step 2: Convert to fraction form
    565.67/847.74 = 488.32/x
  3. Step 3: Cross multiply
    565.67x = 847.74 × 488.32
  4. Step 4: Simplify right side
    565.67x = 413,968.11
  5. Step 5: Solve for x
    x = 413,968.11/565.67
  6. Step 6: Final answer
    x = 731.82

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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.