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Finding the Fourth Proportional to 501.57, 692.31 and 314.97

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Solution

The fourth proportional to 501.57, 692.31 and 314.97 is: 434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 692.31 = 314.97 : x
  2. Step 2: Convert to fraction form
    501.57/692.31 = 314.97/x
  3. Step 3: Cross multiply
    501.57x = 692.31 × 314.97
  4. Step 4: Simplify right side
    501.57x = 218,056.88
  5. Step 5: Solve for x
    x = 218,056.88/501.57
  6. Step 6: Final answer
    x = 434.75

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Why These Related Problems?

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