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Finding the Fourth Proportional to 501.07, 691.47 and 291.25

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Solution

The fourth proportional to 501.07, 691.47 and 291.25 is: 401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.07 : 691.47 = 291.25 : x
  2. Step 2: Convert to fraction form
    501.07/691.47 = 291.25/x
  3. Step 3: Cross multiply
    501.07x = 691.47 × 291.25
  4. Step 4: Simplify right side
    501.07x = 201,390.64
  5. Step 5: Solve for x
    x = 201,390.64/501.07
  6. Step 6: Final answer
    x = 401.92

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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.