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Finding the Fourth Proportional to 424.64, 586.36 and 319.54

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Solution

The fourth proportional to 424.64, 586.36 and 319.54 is: 441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.64 : 586.36 = 319.54 : x
  2. Step 2: Convert to fraction form
    424.64/586.36 = 319.54/x
  3. Step 3: Cross multiply
    424.64x = 586.36 × 319.54
  4. Step 4: Simplify right side
    424.64x = 187,366.26
  5. Step 5: Solve for x
    x = 187,366.26/424.64
  6. Step 6: Final answer
    x = 441.24

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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.