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Finding the Fourth Proportional to 501.69, 692.34 and 291.91

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Solution

The fourth proportional to 501.69, 692.34 and 291.91 is: 402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.69 : 692.34 = 291.91 : x
  2. Step 2: Convert to fraction form
    501.69/692.34 = 291.91/x
  3. Step 3: Cross multiply
    501.69x = 692.34 × 291.91
  4. Step 4: Simplify right side
    501.69x = 202,100.97
  5. Step 5: Solve for x
    x = 202,100.97/501.69
  6. Step 6: Final answer
    x = 402.84

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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.