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Finding the Fourth Proportional to 425.23, 586.79 and 362.96

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Solution

The fourth proportional to 425.23, 586.79 and 362.96 is: 500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.23 : 586.79 = 362.96 : x
  2. Step 2: Convert to fraction form
    425.23/586.79 = 362.96/x
  3. Step 3: Cross multiply
    425.23x = 586.79 × 362.96
  4. Step 4: Simplify right side
    425.23x = 212,981.30
  5. Step 5: Solve for x
    x = 212,981.30/425.23
  6. Step 6: Final answer
    x = 500.86

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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.