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Finding the Fourth Proportional to 579.95, 869.46 and 417.74

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Solution

The fourth proportional to 579.95, 869.46 and 417.74 is: 626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.95 : 869.46 = 417.74 : x
  2. Step 2: Convert to fraction form
    579.95/869.46 = 417.74/x
  3. Step 3: Cross multiply
    579.95x = 869.46 × 417.74
  4. Step 4: Simplify right side
    579.95x = 363,203.87
  5. Step 5: Solve for x
    x = 363,203.87/579.95
  6. Step 6: Final answer
    x = 626.27

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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.