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Finding the Fourth Proportional to 663.97, 916.24 and 365.21

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Solution

The fourth proportional to 663.97, 916.24 and 365.21 is: 503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.97 : 916.24 = 365.21 : x
  2. Step 2: Convert to fraction form
    663.97/916.24 = 365.21/x
  3. Step 3: Cross multiply
    663.97x = 916.24 × 365.21
  4. Step 4: Simplify right side
    663.97x = 334,618.64
  5. Step 5: Solve for x
    x = 334,618.64/663.97
  6. Step 6: Final answer
    x = 503.97

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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.