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Finding the Fourth Proportional to 501.21, 691.86 and 314.78

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Solution

The fourth proportional to 501.21, 691.86 and 314.78 is: 434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.21 : 691.86 = 314.78 : x
  2. Step 2: Convert to fraction form
    501.21/691.86 = 314.78/x
  3. Step 3: Cross multiply
    501.21x = 691.86 × 314.78
  4. Step 4: Simplify right side
    501.21x = 217,780.23
  5. Step 5: Solve for x
    x = 217,780.23/501.21
  6. Step 6: Final answer
    x = 434.51

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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.