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Finding the Fourth Proportional to 501.24, 691.71 and 280.19

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Solution

The fourth proportional to 501.24, 691.71 and 280.19 is: 386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.24 : 691.71 = 280.19 : x
  2. Step 2: Convert to fraction form
    501.24/691.71 = 280.19/x
  3. Step 3: Cross multiply
    501.24x = 691.71 × 280.19
  4. Step 4: Simplify right side
    501.24x = 193,810.22
  5. Step 5: Solve for x
    x = 193,810.22/501.24
  6. Step 6: Final answer
    x = 386.66

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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.