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Finding the Fourth Proportional to 425.23, 586.35 and 277.79

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Solution

The fourth proportional to 425.23, 586.35 and 277.79 is: 383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.23 : 586.35 = 277.79 : x
  2. Step 2: Convert to fraction form
    425.23/586.35 = 277.79/x
  3. Step 3: Cross multiply
    425.23x = 586.35 × 277.79
  4. Step 4: Simplify right side
    425.23x = 162,879.23
  5. Step 5: Solve for x
    x = 162,879.23/425.23
  6. Step 6: Final answer
    x = 383.04

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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.