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Finding the Fourth Proportional to 488.35, 729.05 and 471.27

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Solution

The fourth proportional to 488.35, 729.05 and 471.27 is: 703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.35 : 729.05 = 471.27 : x
  2. Step 2: Convert to fraction form
    488.35/729.05 = 471.27/x
  3. Step 3: Cross multiply
    488.35x = 729.05 × 471.27
  4. Step 4: Simplify right side
    488.35x = 343,579.39
  5. Step 5: Solve for x
    x = 343,579.39/488.35
  6. Step 6: Final answer
    x = 703.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.