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Finding the Fourth Proportional to 588.72, 880.76 and 465.68

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Solution

The fourth proportional to 588.72, 880.76 and 465.68 is: 696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.72 : 880.76 = 465.68 : x
  2. Step 2: Convert to fraction form
    588.72/880.76 = 465.68/x
  3. Step 3: Cross multiply
    588.72x = 880.76 × 465.68
  4. Step 4: Simplify right side
    588.72x = 410,152.32
  5. Step 5: Solve for x
    x = 410,152.32/588.72
  6. Step 6: Final answer
    x = 696.68

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