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Finding the Fourth Proportional to 929.17, 1,394.01 and 279.92

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Solution

The fourth proportional to 929.17, 1,394.01 and 279.92 is: 419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.17 : 1,394.01 = 279.92 : x
  2. Step 2: Convert to fraction form
    929.17/1,394.01 = 279.92/x
  3. Step 3: Cross multiply
    929.17x = 1,394.01 × 279.92
  4. Step 4: Simplify right side
    929.17x = 390,214.76
  5. Step 5: Solve for x
    x = 390,214.76/929.17
  6. Step 6: Final answer
    x = 419.96

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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.