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Finding the Fourth Proportional to 508.32, 761.81 and 230.47

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Solution

The fourth proportional to 508.32, 761.81 and 230.47 is: 345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.32 : 761.81 = 230.47 : x
  2. Step 2: Convert to fraction form
    508.32/761.81 = 230.47/x
  3. Step 3: Cross multiply
    508.32x = 761.81 × 230.47
  4. Step 4: Simplify right side
    508.32x = 175,571.29
  5. Step 5: Solve for x
    x = 175,571.29/508.32
  6. Step 6: Final answer
    x = 345.40

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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.