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Finding the Fourth Proportional to 501.19, 691.67 and 291.43

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Solution

The fourth proportional to 501.19, 691.67 and 291.43 is: 402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.19 : 691.67 = 291.43 : x
  2. Step 2: Convert to fraction form
    501.19/691.67 = 291.43/x
  3. Step 3: Cross multiply
    501.19x = 691.67 × 291.43
  4. Step 4: Simplify right side
    501.19x = 201,573.39
  5. Step 5: Solve for x
    x = 201,573.39/501.19
  6. Step 6: Final answer
    x = 402.19

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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.