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Finding the Fourth Proportional to 473.40, 653.28 and 263.59

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Solution

The fourth proportional to 473.40, 653.28 and 263.59 is: 363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 653.28 = 263.59 : x
  2. Step 2: Convert to fraction form
    473.40/653.28 = 263.59/x
  3. Step 3: Cross multiply
    473.40x = 653.28 × 263.59
  4. Step 4: Simplify right side
    473.40x = 172,193.49
  5. Step 5: Solve for x
    x = 172,193.49/473.40
  6. Step 6: Final answer
    x = 363.74

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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.