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Finding the Fourth Proportional to 425.32, 586.83 and 285.69

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Solution

The fourth proportional to 425.32, 586.83 and 285.69 is: 394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.32 : 586.83 = 285.69 : x
  2. Step 2: Convert to fraction form
    425.32/586.83 = 285.69/x
  3. Step 3: Cross multiply
    425.32x = 586.83 × 285.69
  4. Step 4: Simplify right side
    425.32x = 167,651.46
  5. Step 5: Solve for x
    x = 167,651.46/425.32
  6. Step 6: Final answer
    x = 394.18

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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.