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Finding the Fourth Proportional to 474.99, 711.54 and 230.78

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Solution

The fourth proportional to 474.99, 711.54 and 230.78 is: 345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.99 : 711.54 = 230.78 : x
  2. Step 2: Convert to fraction form
    474.99/711.54 = 230.78/x
  3. Step 3: Cross multiply
    474.99x = 711.54 × 230.78
  4. Step 4: Simplify right side
    474.99x = 164,205.64
  5. Step 5: Solve for x
    x = 164,205.64/474.99
  6. Step 6: Final answer
    x = 345.70

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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.