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Finding the Fourth Proportional to 503.18, 749.10 and 496.34

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Solution

The fourth proportional to 503.18, 749.10 and 496.34 is: 738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.18 : 749.10 = 496.34 : x
  2. Step 2: Convert to fraction form
    503.18/749.10 = 496.34/x
  3. Step 3: Cross multiply
    503.18x = 749.10 × 496.34
  4. Step 4: Simplify right side
    503.18x = 371,808.29
  5. Step 5: Solve for x
    x = 371,808.29/503.18
  6. Step 6: Final answer
    x = 738.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.