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Finding the Fourth Proportional to 497.18, 744.72 and 314.48

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Solution

The fourth proportional to 497.18, 744.72 and 314.48 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.18 : 744.72 = 314.48 : x
  2. Step 2: Convert to fraction form
    497.18/744.72 = 314.48/x
  3. Step 3: Cross multiply
    497.18x = 744.72 × 314.48
  4. Step 4: Simplify right side
    497.18x = 234,199.55
  5. Step 5: Solve for x
    x = 234,199.55/497.18
  6. Step 6: Final answer
    x = 471.06

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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.