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Finding the Fourth Proportional to 580.68, 869.82 and 465.32

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Solution

The fourth proportional to 580.68, 869.82 and 465.32 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.68 : 869.82 = 465.32 : x
  2. Step 2: Convert to fraction form
    580.68/869.82 = 465.32/x
  3. Step 3: Cross multiply
    580.68x = 869.82 × 465.32
  4. Step 4: Simplify right side
    580.68x = 404,744.64
  5. Step 5: Solve for x
    x = 404,744.64/580.68
  6. Step 6: Final answer
    x = 697.02

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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.