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Finding the Fourth Proportional to 314.30, 470.63 and 217.10

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Solution

The fourth proportional to 314.30, 470.63 and 217.10 is: 325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 470.63 = 217.10 : x
  2. Step 2: Convert to fraction form
    314.30/470.63 = 217.10/x
  3. Step 3: Cross multiply
    314.30x = 470.63 × 217.10
  4. Step 4: Simplify right side
    314.30x = 102,173.77
  5. Step 5: Solve for x
    x = 102,173.77/314.30
  6. Step 6: Final answer
    x = 325.08

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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.