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Finding the Fourth Proportional to 491.70, 737.70 and 275.13

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Solution

The fourth proportional to 491.70, 737.70 and 275.13 is: 412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.70 : 737.70 = 275.13 : x
  2. Step 2: Convert to fraction form
    491.70/737.70 = 275.13/x
  3. Step 3: Cross multiply
    491.70x = 737.70 × 275.13
  4. Step 4: Simplify right side
    491.70x = 202,963.40
  5. Step 5: Solve for x
    x = 202,963.40/491.70
  6. Step 6: Final answer
    x = 412.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.