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Finding the Fourth Proportional to 588.57, 878.64 and 465.59

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Solution

The fourth proportional to 588.57, 878.64 and 465.59 is: 695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.57 : 878.64 = 465.59 : x
  2. Step 2: Convert to fraction form
    588.57/878.64 = 465.59/x
  3. Step 3: Cross multiply
    588.57x = 878.64 × 465.59
  4. Step 4: Simplify right side
    588.57x = 409,081.60
  5. Step 5: Solve for x
    x = 409,081.60/588.57
  6. Step 6: Final answer
    x = 695.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.