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Finding the Fourth Proportional to 497.76, 745.84 and 314.72

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Solution

The fourth proportional to 497.76, 745.84 and 314.72 is: 471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.76 : 745.84 = 314.72 : x
  2. Step 2: Convert to fraction form
    497.76/745.84 = 314.72/x
  3. Step 3: Cross multiply
    497.76x = 745.84 × 314.72
  4. Step 4: Simplify right side
    497.76x = 234,730.76
  5. Step 5: Solve for x
    x = 234,730.76/497.76
  6. Step 6: Final answer
    x = 471.57

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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.