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Finding the Fourth Proportional to 491.72, 738.41 and 472.10

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Solution

The fourth proportional to 491.72, 738.41 and 472.10 is: 708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 738.41 = 472.10 : x
  2. Step 2: Convert to fraction form
    491.72/738.41 = 472.10/x
  3. Step 3: Cross multiply
    491.72x = 738.41 × 472.10
  4. Step 4: Simplify right side
    491.72x = 348,597.31
  5. Step 5: Solve for x
    x = 348,597.31/491.72
  6. Step 6: Final answer
    x = 708.94

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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.