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Finding the Fourth Proportional to 868.33, 1,302.95 and 406.02

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Solution

The fourth proportional to 868.33, 1,302.95 and 406.02 is: 609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.33 : 1,302.95 = 406.02 : x
  2. Step 2: Convert to fraction form
    868.33/1,302.95 = 406.02/x
  3. Step 3: Cross multiply
    868.33x = 1,302.95 × 406.02
  4. Step 4: Simplify right side
    868.33x = 529,023.76
  5. Step 5: Solve for x
    x = 529,023.76/868.33
  6. Step 6: Final answer
    x = 609.24

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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.