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Finding the Fourth Proportional to 501.02, 691.40 and 291.24

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Solution

The fourth proportional to 501.02, 691.40 and 291.24 is: 401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.02 : 691.40 = 291.24 : x
  2. Step 2: Convert to fraction form
    501.02/691.40 = 291.24/x
  3. Step 3: Cross multiply
    501.02x = 691.40 × 291.24
  4. Step 4: Simplify right side
    501.02x = 201,364.06
  5. Step 5: Solve for x
    x = 201,364.06/501.02
  6. Step 6: Final answer
    x = 401.91

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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.