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Finding the Fourth Proportional to 491.47, 737.05 and 414.46

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Solution

The fourth proportional to 491.47, 737.05 and 414.46 is: 621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.47 : 737.05 = 414.46 : x
  2. Step 2: Convert to fraction form
    491.47/737.05 = 414.46/x
  3. Step 3: Cross multiply
    491.47x = 737.05 × 414.46
  4. Step 4: Simplify right side
    491.47x = 305,473.02
  5. Step 5: Solve for x
    x = 305,473.02/491.47
  6. Step 6: Final answer
    x = 621.56

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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.