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Finding the Fourth Proportional to 630.53, 945.08 and 283.34

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Solution

The fourth proportional to 630.53, 945.08 and 283.34 is: 424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.53 : 945.08 = 283.34 : x
  2. Step 2: Convert to fraction form
    630.53/945.08 = 283.34/x
  3. Step 3: Cross multiply
    630.53x = 945.08 × 283.34
  4. Step 4: Simplify right side
    630.53x = 267,780.98
  5. Step 5: Solve for x
    x = 267,780.98/630.53
  6. Step 6: Final answer
    x = 424.69

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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.