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Finding the Fourth Proportional to 929.08, 1,393.36 and 280

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Solution

The fourth proportional to 929.08, 1,393.36 and 280 is: 419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.08 : 1,393.36 = 280 : x
  2. Step 2: Convert to fraction form
    929.08/1,393.36 = 280/x
  3. Step 3: Cross multiply
    929.08x = 1,393.36 × 280
  4. Step 4: Simplify right side
    929.08x = 390,140.80
  5. Step 5: Solve for x
    x = 390,140.80/929.08
  6. Step 6: Final answer
    x = 419.92

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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.