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Finding the Fourth Proportional to 663.84, 916.26 and 454.38

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Solution

The fourth proportional to 663.84, 916.26 and 454.38 is: 627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 916.26 = 454.38 : x
  2. Step 2: Convert to fraction form
    663.84/916.26 = 454.38/x
  3. Step 3: Cross multiply
    663.84x = 916.26 × 454.38
  4. Step 4: Simplify right side
    663.84x = 416,330.22
  5. Step 5: Solve for x
    x = 416,330.22/663.84
  6. Step 6: Final answer
    x = 627.15

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Half scale
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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.