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Finding the Fourth Proportional to 508.80, 766.44 and 464.52

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Solution

The fourth proportional to 508.80, 766.44 and 464.52 is: 699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.80 : 766.44 = 464.52 : x
  2. Step 2: Convert to fraction form
    508.80/766.44 = 464.52/x
  3. Step 3: Cross multiply
    508.80x = 766.44 × 464.52
  4. Step 4: Simplify right side
    508.80x = 356,026.71
  5. Step 5: Solve for x
    x = 356,026.71/508.80
  6. Step 6: Final answer
    x = 699.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.