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Finding the Fourth Proportional to 425.86, 587.70 and 260.03

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Solution

The fourth proportional to 425.86, 587.70 and 260.03 is: 358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.86 : 587.70 = 260.03 : x
  2. Step 2: Convert to fraction form
    425.86/587.70 = 260.03/x
  3. Step 3: Cross multiply
    425.86x = 587.70 × 260.03
  4. Step 4: Simplify right side
    425.86x = 152,821.10
  5. Step 5: Solve for x
    x = 152,821.10/425.86
  6. Step 6: Final answer
    x = 358.86

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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.