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Finding the Fourth Proportional to 718.47, 1,078.01 and 280.02

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Solution

The fourth proportional to 718.47, 1,078.01 and 280.02 is: 420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.47 : 1,078.01 = 280.02 : x
  2. Step 2: Convert to fraction form
    718.47/1,078.01 = 280.02/x
  3. Step 3: Cross multiply
    718.47x = 1,078.01 × 280.02
  4. Step 4: Simplify right side
    718.47x = 301,862.96
  5. Step 5: Solve for x
    x = 301,862.96/718.47
  6. Step 6: Final answer
    x = 420.15

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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.