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Finding the Fourth Proportional to 424.67, 586.27 and 275.51

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Solution

The fourth proportional to 424.67, 586.27 and 275.51 is: 380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.67 : 586.27 = 275.51 : x
  2. Step 2: Convert to fraction form
    424.67/586.27 = 275.51/x
  3. Step 3: Cross multiply
    424.67x = 586.27 × 275.51
  4. Step 4: Simplify right side
    424.67x = 161,523.25
  5. Step 5: Solve for x
    x = 161,523.25/424.67
  6. Step 6: Final answer
    x = 380.35

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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.