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Finding the Fourth Proportional to 501.65, 692.19 and 291.84

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Solution

The fourth proportional to 501.65, 692.19 and 291.84 is: 402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.65 : 692.19 = 291.84 : x
  2. Step 2: Convert to fraction form
    501.65/692.19 = 291.84/x
  3. Step 3: Cross multiply
    501.65x = 692.19 × 291.84
  4. Step 4: Simplify right side
    501.65x = 202,008.73
  5. Step 5: Solve for x
    x = 202,008.73/501.65
  6. Step 6: Final answer
    x = 402.69

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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.