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Finding the Fourth Proportional to 543.61, 749.85 and 473.84

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Solution

The fourth proportional to 543.61, 749.85 and 473.84 is: 653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.61 : 749.85 = 473.84 : x
  2. Step 2: Convert to fraction form
    543.61/749.85 = 473.84/x
  3. Step 3: Cross multiply
    543.61x = 749.85 × 473.84
  4. Step 4: Simplify right side
    543.61x = 355,306.21
  5. Step 5: Solve for x
    x = 355,306.21/543.61
  6. Step 6: Final answer
    x = 653.60

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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.