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Finding the Fourth Proportional to 690.34, 1,035.02 and 324.92

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Solution

The fourth proportional to 690.34, 1,035.02 and 324.92 is: 487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.34 : 1,035.02 = 324.92 : x
  2. Step 2: Convert to fraction form
    690.34/1,035.02 = 324.92/x
  3. Step 3: Cross multiply
    690.34x = 1,035.02 × 324.92
  4. Step 4: Simplify right side
    690.34x = 336,298.70
  5. Step 5: Solve for x
    x = 336,298.70/690.34
  6. Step 6: Final answer
    x = 487.15

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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.