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Finding the Fourth Proportional to 929.13, 1,393.69 and 279.84

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Solution

The fourth proportional to 929.13, 1,393.69 and 279.84 is: 419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.13 : 1,393.69 = 279.84 : x
  2. Step 2: Convert to fraction form
    929.13/1,393.69 = 279.84/x
  3. Step 3: Cross multiply
    929.13x = 1,393.69 × 279.84
  4. Step 4: Simplify right side
    929.13x = 390,010.21
  5. Step 5: Solve for x
    x = 390,010.21/929.13
  6. Step 6: Final answer
    x = 419.76

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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.