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Finding the Fourth Proportional to 425.46, 586.95 and 259.66

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Solution

The fourth proportional to 425.46, 586.95 and 259.66 is: 358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.46 : 586.95 = 259.66 : x
  2. Step 2: Convert to fraction form
    425.46/586.95 = 259.66/x
  3. Step 3: Cross multiply
    425.46x = 586.95 × 259.66
  4. Step 4: Simplify right side
    425.46x = 152,407.44
  5. Step 5: Solve for x
    x = 152,407.44/425.46
  6. Step 6: Final answer
    x = 358.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.