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Finding the Fourth Proportional to 425.79, 587.51 and 260.06

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Solution

The fourth proportional to 425.79, 587.51 and 260.06 is: 358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.79 : 587.51 = 260.06 : x
  2. Step 2: Convert to fraction form
    425.79/587.51 = 260.06/x
  3. Step 3: Cross multiply
    425.79x = 587.51 × 260.06
  4. Step 4: Simplify right side
    425.79x = 152,785.56
  5. Step 5: Solve for x
    x = 152,785.56/425.79
  6. Step 6: Final answer
    x = 358.83

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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.