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Finding the Fourth Proportional to 473.36, 709.86 and 256.82

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Solution

The fourth proportional to 473.36, 709.86 and 256.82 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.36 : 709.86 = 256.82 : x
  2. Step 2: Convert to fraction form
    473.36/709.86 = 256.82/x
  3. Step 3: Cross multiply
    473.36x = 709.86 × 256.82
  4. Step 4: Simplify right side
    473.36x = 182,306.25
  5. Step 5: Solve for x
    x = 182,306.25/473.36
  6. Step 6: Final answer
    x = 385.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.