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Finding the Fourth Proportional to 579.32, 868.30 and 417.08

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Solution

The fourth proportional to 579.32, 868.30 and 417.08 is: 625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.32 : 868.30 = 417.08 : x
  2. Step 2: Convert to fraction form
    579.32/868.30 = 417.08/x
  3. Step 3: Cross multiply
    579.32x = 868.30 × 417.08
  4. Step 4: Simplify right side
    579.32x = 362,150.56
  5. Step 5: Solve for x
    x = 362,150.56/579.32
  6. Step 6: Final answer
    x = 625.13

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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.