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Finding the Fourth Proportional to 473.92, 709.98 and 256.84

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Solution

The fourth proportional to 473.92, 709.98 and 256.84 is: 384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.92 : 709.98 = 256.84 : x
  2. Step 2: Convert to fraction form
    473.92/709.98 = 256.84/x
  3. Step 3: Cross multiply
    473.92x = 709.98 × 256.84
  4. Step 4: Simplify right side
    473.92x = 182,351.26
  5. Step 5: Solve for x
    x = 182,351.26/473.92
  6. Step 6: Final answer
    x = 384.77

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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.