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Finding the Fourth Proportional to 501.06, 691.49 and 291.17

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Solution

The fourth proportional to 501.06, 691.49 and 291.17 is: 401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.06 : 691.49 = 291.17 : x
  2. Step 2: Convert to fraction form
    501.06/691.49 = 291.17/x
  3. Step 3: Cross multiply
    501.06x = 691.49 × 291.17
  4. Step 4: Simplify right side
    501.06x = 201,343.60
  5. Step 5: Solve for x
    x = 201,343.60/501.06
  6. Step 6: Final answer
    x = 401.84

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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.