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Finding the Fourth Proportional to 567.09, 781.49 and 417.65

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Solution

The fourth proportional to 567.09, 781.49 and 417.65 is: 575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.09 : 781.49 = 417.65 : x
  2. Step 2: Convert to fraction form
    567.09/781.49 = 417.65/x
  3. Step 3: Cross multiply
    567.09x = 781.49 × 417.65
  4. Step 4: Simplify right side
    567.09x = 326,383.30
  5. Step 5: Solve for x
    x = 326,383.30/567.09
  6. Step 6: Final answer
    x = 575.54

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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.