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Finding the Fourth Proportional to 558.40, 769.92 and 465.28

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Solution

The fourth proportional to 558.40, 769.92 and 465.28 is: 641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.40 : 769.92 = 465.28 : x
  2. Step 2: Convert to fraction form
    558.40/769.92 = 465.28/x
  3. Step 3: Cross multiply
    558.40x = 769.92 × 465.28
  4. Step 4: Simplify right side
    558.40x = 358,228.38
  5. Step 5: Solve for x
    x = 358,228.38/558.40
  6. Step 6: Final answer
    x = 641.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.