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Finding the Fourth Proportional to 491.60, 737.40 and 472.70

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Solution

The fourth proportional to 491.60, 737.40 and 472.70 is: 709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.60 : 737.40 = 472.70 : x
  2. Step 2: Convert to fraction form
    491.60/737.40 = 472.70/x
  3. Step 3: Cross multiply
    491.60x = 737.40 × 472.70
  4. Step 4: Simplify right side
    491.60x = 348,568.98
  5. Step 5: Solve for x
    x = 348,568.98/491.60
  6. Step 6: Final answer
    x = 709.05

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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.