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Finding the Fourth Proportional to 588.15, 880.88 and 466.52

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Solution

The fourth proportional to 588.15, 880.88 and 466.52 is: 698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.15 : 880.88 = 466.52 : x
  2. Step 2: Convert to fraction form
    588.15/880.88 = 466.52/x
  3. Step 3: Cross multiply
    588.15x = 880.88 × 466.52
  4. Step 4: Simplify right side
    588.15x = 410,941.40
  5. Step 5: Solve for x
    x = 410,941.40/588.15
  6. Step 6: Final answer
    x = 698.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.