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Finding the Fourth Proportional to 582.59, 872.44 and 462.31

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Solution

The fourth proportional to 582.59, 872.44 and 462.31 is: 692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.59 : 872.44 = 462.31 : x
  2. Step 2: Convert to fraction form
    582.59/872.44 = 462.31/x
  3. Step 3: Cross multiply
    582.59x = 872.44 × 462.31
  4. Step 4: Simplify right side
    582.59x = 403,334.40
  5. Step 5: Solve for x
    x = 403,334.40/582.59
  6. Step 6: Final answer
    x = 692.31

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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.