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Finding the Fourth Proportional to 925.68, 1,388.04 and 309.12

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Solution

The fourth proportional to 925.68, 1,388.04 and 309.12 is: 463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.68 : 1,388.04 = 309.12 : x
  2. Step 2: Convert to fraction form
    925.68/1,388.04 = 309.12/x
  3. Step 3: Cross multiply
    925.68x = 1,388.04 × 309.12
  4. Step 4: Simplify right side
    925.68x = 429,070.92
  5. Step 5: Solve for x
    x = 429,070.92/925.68
  6. Step 6: Final answer
    x = 463.52

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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.