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Finding the Fourth Proportional to 473.19, 653.10 and 276.78

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Solution

The fourth proportional to 473.19, 653.10 and 276.78 is: 382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.19 : 653.10 = 276.78 : x
  2. Step 2: Convert to fraction form
    473.19/653.10 = 276.78/x
  3. Step 3: Cross multiply
    473.19x = 653.10 × 276.78
  4. Step 4: Simplify right side
    473.19x = 180,765.02
  5. Step 5: Solve for x
    x = 180,765.02/473.19
  6. Step 6: Final answer
    x = 382.01

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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.