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Finding the Fourth Proportional to 514.68, 772.27 and 319.63

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Solution

The fourth proportional to 514.68, 772.27 and 319.63 is: 479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.68 : 772.27 = 319.63 : x
  2. Step 2: Convert to fraction form
    514.68/772.27 = 319.63/x
  3. Step 3: Cross multiply
    514.68x = 772.27 × 319.63
  4. Step 4: Simplify right side
    514.68x = 246,839.38
  5. Step 5: Solve for x
    x = 246,839.38/514.68
  6. Step 6: Final answer
    x = 479.60

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1.5x scale

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.