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Finding the Fourth Proportional to 472.83, 709.25 and 256.47

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Solution

The fourth proportional to 472.83, 709.25 and 256.47 is: 384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.83 : 709.25 = 256.47 : x
  2. Step 2: Convert to fraction form
    472.83/709.25 = 256.47/x
  3. Step 3: Cross multiply
    472.83x = 709.25 × 256.47
  4. Step 4: Simplify right side
    472.83x = 181,900.07
  5. Step 5: Solve for x
    x = 181,900.07/472.83
  6. Step 6: Final answer
    x = 384.71

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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.