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Finding the Fourth Proportional to 630.59, 945.15 and 284.10

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Solution

The fourth proportional to 630.59, 945.15 and 284.10 is: 425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.59 : 945.15 = 284.10 : x
  2. Step 2: Convert to fraction form
    630.59/945.15 = 284.10/x
  3. Step 3: Cross multiply
    630.59x = 945.15 × 284.10
  4. Step 4: Simplify right side
    630.59x = 268,517.12
  5. Step 5: Solve for x
    x = 268,517.12/630.59
  6. Step 6: Final answer
    x = 425.82

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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.