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Finding the Fourth Proportional to 929.34, 1,394.12 and 280.07

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Solution

The fourth proportional to 929.34, 1,394.12 and 280.07 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.34 : 1,394.12 = 280.07 : x
  2. Step 2: Convert to fraction form
    929.34/1,394.12 = 280.07/x
  3. Step 3: Cross multiply
    929.34x = 1,394.12 × 280.07
  4. Step 4: Simplify right side
    929.34x = 390,451.19
  5. Step 5: Solve for x
    x = 390,451.19/929.34
  6. Step 6: Final answer
    x = 420.14

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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.