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Finding the Fourth Proportional to 473.84, 710.46 and 311.24

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Solution

The fourth proportional to 473.84, 710.46 and 311.24 is: 466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.84 : 710.46 = 311.24 : x
  2. Step 2: Convert to fraction form
    473.84/710.46 = 311.24/x
  3. Step 3: Cross multiply
    473.84x = 710.46 × 311.24
  4. Step 4: Simplify right side
    473.84x = 221,123.57
  5. Step 5: Solve for x
    x = 221,123.57/473.84
  6. Step 6: Final answer
    x = 466.66

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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.