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Finding the Fourth Proportional to 508.79, 762.84 and 162.02

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Solution

The fourth proportional to 508.79, 762.84 and 162.02 is: 242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.79 : 762.84 = 162.02 : x
  2. Step 2: Convert to fraction form
    508.79/762.84 = 162.02/x
  3. Step 3: Cross multiply
    508.79x = 762.84 × 162.02
  4. Step 4: Simplify right side
    508.79x = 123,595.34
  5. Step 5: Solve for x
    x = 123,595.34/508.79
  6. Step 6: Final answer
    x = 242.92

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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.