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Finding the Fourth Proportional to 552.48, 761.97 and 469.86

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Solution

The fourth proportional to 552.48, 761.97 and 469.86 is: 648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.48 : 761.97 = 469.86 : x
  2. Step 2: Convert to fraction form
    552.48/761.97 = 469.86/x
  3. Step 3: Cross multiply
    552.48x = 761.97 × 469.86
  4. Step 4: Simplify right side
    552.48x = 358,019.22
  5. Step 5: Solve for x
    x = 358,019.22/552.48
  6. Step 6: Final answer
    x = 648.02

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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.