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Finding the Fourth Proportional to 314.30, 470.49 and 307.10

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Solution

The fourth proportional to 314.30, 470.49 and 307.10 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 470.49 = 307.10 : x
  2. Step 2: Convert to fraction form
    314.30/470.49 = 307.10/x
  3. Step 3: Cross multiply
    314.30x = 470.49 × 307.10
  4. Step 4: Simplify right side
    314.30x = 144,487.48
  5. Step 5: Solve for x
    x = 144,487.48/314.30
  6. Step 6: Final answer
    x = 459.71

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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.