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Finding the Fourth Proportional to 557.24, 768.58 and 469.19

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Solution

The fourth proportional to 557.24, 768.58 and 469.19 is: 647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.24 : 768.58 = 469.19 : x
  2. Step 2: Convert to fraction form
    557.24/768.58 = 469.19/x
  3. Step 3: Cross multiply
    557.24x = 768.58 × 469.19
  4. Step 4: Simplify right side
    557.24x = 360,610.80
  5. Step 5: Solve for x
    x = 360,610.80/557.24
  6. Step 6: Final answer
    x = 647.13

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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.