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Finding the Fourth Proportional to 582.18, 804.10 and 424.55

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Solution

The fourth proportional to 582.18, 804.10 and 424.55 is: 586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.18 : 804.10 = 424.55 : x
  2. Step 2: Convert to fraction form
    582.18/804.10 = 424.55/x
  3. Step 3: Cross multiply
    582.18x = 804.10 × 424.55
  4. Step 4: Simplify right side
    582.18x = 341,380.66
  5. Step 5: Solve for x
    x = 341,380.66/582.18
  6. Step 6: Final answer
    x = 586.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.