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Finding the Fourth Proportional to 425.53, 586.69 and 326.06

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Solution

The fourth proportional to 425.53, 586.69 and 326.06 is: 449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.53 : 586.69 = 326.06 : x
  2. Step 2: Convert to fraction form
    425.53/586.69 = 326.06/x
  3. Step 3: Cross multiply
    425.53x = 586.69 × 326.06
  4. Step 4: Simplify right side
    425.53x = 191,296.14
  5. Step 5: Solve for x
    x = 191,296.14/425.53
  6. Step 6: Final answer
    x = 449.55

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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.