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Finding the Fourth Proportional to 310.70, 463.72 and 305.57

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Solution

The fourth proportional to 310.70, 463.72 and 305.57 is: 456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.70 : 463.72 = 305.57 : x
  2. Step 2: Convert to fraction form
    310.70/463.72 = 305.57/x
  3. Step 3: Cross multiply
    310.70x = 463.72 × 305.57
  4. Step 4: Simplify right side
    310.70x = 141,700.46
  5. Step 5: Solve for x
    x = 141,700.46/310.70
  6. Step 6: Final answer
    x = 456.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.