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Finding the Fourth Proportional to 501.78, 692.47 and 291.99

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Solution

The fourth proportional to 501.78, 692.47 and 291.99 is: 402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.78 : 692.47 = 291.99 : x
  2. Step 2: Convert to fraction form
    501.78/692.47 = 291.99/x
  3. Step 3: Cross multiply
    501.78x = 692.47 × 291.99
  4. Step 4: Simplify right side
    501.78x = 202,194.32
  5. Step 5: Solve for x
    x = 202,194.32/501.78
  6. Step 6: Final answer
    x = 402.95

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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.