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Finding the Fourth Proportional to 501.14, 691.61 and 288.52

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Solution

The fourth proportional to 501.14, 691.61 and 288.52 is: 398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.14 : 691.61 = 288.52 : x
  2. Step 2: Convert to fraction form
    501.14/691.61 = 288.52/x
  3. Step 3: Cross multiply
    501.14x = 691.61 × 288.52
  4. Step 4: Simplify right side
    501.14x = 199,538.42
  5. Step 5: Solve for x
    x = 199,538.42/501.14
  6. Step 6: Final answer
    x = 398.17

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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.