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Finding the Fourth Proportional to 582.40, 871.50 and 467.58

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Solution

The fourth proportional to 582.40, 871.50 and 467.58 is: 699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.40 : 871.50 = 467.58 : x
  2. Step 2: Convert to fraction form
    582.40/871.50 = 467.58/x
  3. Step 3: Cross multiply
    582.40x = 871.50 × 467.58
  4. Step 4: Simplify right side
    582.40x = 407,495.97
  5. Step 5: Solve for x
    x = 407,495.97/582.40
  6. Step 6: Final answer
    x = 699.68

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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.