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Finding the Fourth Proportional to 630.76, 871.42 and 538.46

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Solution

The fourth proportional to 630.76, 871.42 and 538.46 is: 743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.76 : 871.42 = 538.46 : x
  2. Step 2: Convert to fraction form
    630.76/871.42 = 538.46/x
  3. Step 3: Cross multiply
    630.76x = 871.42 × 538.46
  4. Step 4: Simplify right side
    630.76x = 469,224.81
  5. Step 5: Solve for x
    x = 469,224.81/630.76
  6. Step 6: Final answer
    x = 743.90

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Double scale
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1.5x scale

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.