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Finding the Fourth Proportional to 424.90, 582.61 and 383.29

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Solution

The fourth proportional to 424.90, 582.61 and 383.29 is: 525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.90 : 582.61 = 383.29 : x
  2. Step 2: Convert to fraction form
    424.90/582.61 = 383.29/x
  3. Step 3: Cross multiply
    424.90x = 582.61 × 383.29
  4. Step 4: Simplify right side
    424.90x = 223,308.59
  5. Step 5: Solve for x
    x = 223,308.59/424.90
  6. Step 6: Final answer
    x = 525.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.