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Finding the Fourth Proportional to 501.67, 692.08 and 314.88

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Solution

The fourth proportional to 501.67, 692.08 and 314.88 is: 434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.67 : 692.08 = 314.88 : x
  2. Step 2: Convert to fraction form
    501.67/692.08 = 314.88/x
  3. Step 3: Cross multiply
    501.67x = 692.08 × 314.88
  4. Step 4: Simplify right side
    501.67x = 217,922.15
  5. Step 5: Solve for x
    x = 217,922.15/501.67
  6. Step 6: Final answer
    x = 434.39

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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.