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Finding the Fourth Proportional to 575.27, 793.48 and 417.74

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Solution

The fourth proportional to 575.27, 793.48 and 417.74 is: 576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.27 : 793.48 = 417.74 : x
  2. Step 2: Convert to fraction form
    575.27/793.48 = 417.74/x
  3. Step 3: Cross multiply
    575.27x = 793.48 × 417.74
  4. Step 4: Simplify right side
    575.27x = 331,466.25
  5. Step 5: Solve for x
    x = 331,466.25/575.27
  6. Step 6: Final answer
    x = 576.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.