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Finding the Fourth Proportional to 577.04, 865.36 and 414.24

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Solution

The fourth proportional to 577.04, 865.36 and 414.24 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.04 : 865.36 = 414.24 : x
  2. Step 2: Convert to fraction form
    577.04/865.36 = 414.24/x
  3. Step 3: Cross multiply
    577.04x = 865.36 × 414.24
  4. Step 4: Simplify right side
    577.04x = 358,466.73
  5. Step 5: Solve for x
    x = 358,466.73/577.04
  6. Step 6: Final answer
    x = 621.22

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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.