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Finding the Fourth Proportional to 467.47, 644.29 and 342.87

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Solution

The fourth proportional to 467.47, 644.29 and 342.87 is: 472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.47 : 644.29 = 342.87 : x
  2. Step 2: Convert to fraction form
    467.47/644.29 = 342.87/x
  3. Step 3: Cross multiply
    467.47x = 644.29 × 342.87
  4. Step 4: Simplify right side
    467.47x = 220,907.71
  5. Step 5: Solve for x
    x = 220,907.71/467.47
  6. Step 6: Final answer
    x = 472.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.