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Finding the Fourth Proportional to 426.45, 587.86 and 260.53

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Solution

The fourth proportional to 426.45, 587.86 and 260.53 is: 359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.45 : 587.86 = 260.53 : x
  2. Step 2: Convert to fraction form
    426.45/587.86 = 260.53/x
  3. Step 3: Cross multiply
    426.45x = 587.86 × 260.53
  4. Step 4: Simplify right side
    426.45x = 153,156.35
  5. Step 5: Solve for x
    x = 153,156.35/426.45
  6. Step 6: Final answer
    x = 359.14

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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.