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Finding the Fourth Proportional to 579.24, 869.94 and 417.24

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Solution

The fourth proportional to 579.24, 869.94 and 417.24 is: 626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 869.94 = 417.24 : x
  2. Step 2: Convert to fraction form
    579.24/869.94 = 417.24/x
  3. Step 3: Cross multiply
    579.24x = 869.94 × 417.24
  4. Step 4: Simplify right side
    579.24x = 362,973.77
  5. Step 5: Solve for x
    x = 362,973.77/579.24
  6. Step 6: Final answer
    x = 626.64

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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.