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Finding the Fourth Proportional to 641.41, 962.70 and 425.14

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Solution

The fourth proportional to 641.41, 962.70 and 425.14 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.41 : 962.70 = 425.14 : x
  2. Step 2: Convert to fraction form
    641.41/962.70 = 425.14/x
  3. Step 3: Cross multiply
    641.41x = 962.70 × 425.14
  4. Step 4: Simplify right side
    641.41x = 409,282.28
  5. Step 5: Solve for x
    x = 409,282.28/641.41
  6. Step 6: Final answer
    x = 638.10

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1.5x scale

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.