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Finding the Fourth Proportional to 562.52, 843.64 and 410.24

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Solution

The fourth proportional to 562.52, 843.64 and 410.24 is: 615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.52 : 843.64 = 410.24 : x
  2. Step 2: Convert to fraction form
    562.52/843.64 = 410.24/x
  3. Step 3: Cross multiply
    562.52x = 843.64 × 410.24
  4. Step 4: Simplify right side
    562.52x = 346,094.87
  5. Step 5: Solve for x
    x = 346,094.87/562.52
  6. Step 6: Final answer
    x = 615.26

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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.