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Finding the Fourth Proportional to 586.47, 880.92 and 465.57

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Solution

The fourth proportional to 586.47, 880.92 and 465.57 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.47 : 880.92 = 465.57 : x
  2. Step 2: Convert to fraction form
    586.47/880.92 = 465.57/x
  3. Step 3: Cross multiply
    586.47x = 880.92 × 465.57
  4. Step 4: Simplify right side
    586.47x = 410,129.92
  5. Step 5: Solve for x
    x = 410,129.92/586.47
  6. Step 6: Final answer
    x = 699.32

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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.