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Finding the Fourth Proportional to 482.61, 663.95 and 426.32

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Solution

The fourth proportional to 482.61, 663.95 and 426.32 is: 586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.61 : 663.95 = 426.32 : x
  2. Step 2: Convert to fraction form
    482.61/663.95 = 426.32/x
  3. Step 3: Cross multiply
    482.61x = 663.95 × 426.32
  4. Step 4: Simplify right side
    482.61x = 283,049.71
  5. Step 5: Solve for x
    x = 283,049.71/482.61
  6. Step 6: Final answer
    x = 586.50

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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.