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Finding the Fourth Proportional to 497.70, 745.26 and 314.64

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Solution

The fourth proportional to 497.70, 745.26 and 314.64 is: 471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 745.26 = 314.64 : x
  2. Step 2: Convert to fraction form
    497.70/745.26 = 314.64/x
  3. Step 3: Cross multiply
    497.70x = 745.26 × 314.64
  4. Step 4: Simplify right side
    497.70x = 234,488.61
  5. Step 5: Solve for x
    x = 234,488.61/497.70
  6. Step 6: Final answer
    x = 471.14

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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.