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Finding the Fourth Proportional to 494.90, 737.08 and 463.76

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Solution

The fourth proportional to 494.90, 737.08 and 463.76 is: 690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.90 : 737.08 = 463.76 : x
  2. Step 2: Convert to fraction form
    494.90/737.08 = 463.76/x
  3. Step 3: Cross multiply
    494.90x = 737.08 × 463.76
  4. Step 4: Simplify right side
    494.90x = 341,828.22
  5. Step 5: Solve for x
    x = 341,828.22/494.90
  6. Step 6: Final answer
    x = 690.70

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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.