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Finding the Fourth Proportional to 503.88, 694.56 and 463.65

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Solution

The fourth proportional to 503.88, 694.56 and 463.65 is: 639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.88 : 694.56 = 463.65 : x
  2. Step 2: Convert to fraction form
    503.88/694.56 = 463.65/x
  3. Step 3: Cross multiply
    503.88x = 694.56 × 463.65
  4. Step 4: Simplify right side
    503.88x = 322,032.74
  5. Step 5: Solve for x
    x = 322,032.74/503.88
  6. Step 6: Final answer
    x = 639.11

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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.