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Finding the Fourth Proportional to 474.16, 711.64 and 230.84

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Solution

The fourth proportional to 474.16, 711.64 and 230.84 is: 346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.16 : 711.64 = 230.84 : x
  2. Step 2: Convert to fraction form
    474.16/711.64 = 230.84/x
  3. Step 3: Cross multiply
    474.16x = 711.64 × 230.84
  4. Step 4: Simplify right side
    474.16x = 164,274.98
  5. Step 5: Solve for x
    x = 164,274.98/474.16
  6. Step 6: Final answer
    x = 346.45

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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.