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Finding the Fourth Proportional to 663.57, 915.72 and 364.81

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Solution

The fourth proportional to 663.57, 915.72 and 364.81 is: 503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 915.72 = 364.81 : x
  2. Step 2: Convert to fraction form
    663.57/915.72 = 364.81/x
  3. Step 3: Cross multiply
    663.57x = 915.72 × 364.81
  4. Step 4: Simplify right side
    663.57x = 334,061.52
  5. Step 5: Solve for x
    x = 334,061.52/663.57
  6. Step 6: Final answer
    x = 503.43

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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.