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Finding the Fourth Proportional to 562.93, 842.16 and 475.28

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Solution

The fourth proportional to 562.93, 842.16 and 475.28 is: 711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.93 : 842.16 = 475.28 : x
  2. Step 2: Convert to fraction form
    562.93/842.16 = 475.28/x
  3. Step 3: Cross multiply
    562.93x = 842.16 × 475.28
  4. Step 4: Simplify right side
    562.93x = 400,261.80
  5. Step 5: Solve for x
    x = 400,261.80/562.93
  6. Step 6: Final answer
    x = 711.03

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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.