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Finding the Fourth Proportional to 929.31, 1,393.74 and 279.87

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Solution

The fourth proportional to 929.31, 1,393.74 and 279.87 is: 419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.31 : 1,393.74 = 279.87 : x
  2. Step 2: Convert to fraction form
    929.31/1,393.74 = 279.87/x
  3. Step 3: Cross multiply
    929.31x = 1,393.74 × 279.87
  4. Step 4: Simplify right side
    929.31x = 390,066.01
  5. Step 5: Solve for x
    x = 390,066.01/929.31
  6. Step 6: Final answer
    x = 419.74

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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.