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Finding the Fourth Proportional to 426.27, 588.35 and 260.58

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Solution

The fourth proportional to 426.27, 588.35 and 260.58 is: 359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.27 : 588.35 = 260.58 : x
  2. Step 2: Convert to fraction form
    426.27/588.35 = 260.58/x
  3. Step 3: Cross multiply
    426.27x = 588.35 × 260.58
  4. Step 4: Simplify right side
    426.27x = 153,312.24
  5. Step 5: Solve for x
    x = 153,312.24/426.27
  6. Step 6: Final answer
    x = 359.66

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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.