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Finding the Fourth Proportional to 410.52, 614.91 and 313.14

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Solution

The fourth proportional to 410.52, 614.91 and 313.14 is: 469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.52 : 614.91 = 313.14 : x
  2. Step 2: Convert to fraction form
    410.52/614.91 = 313.14/x
  3. Step 3: Cross multiply
    410.52x = 614.91 × 313.14
  4. Step 4: Simplify right side
    410.52x = 192,552.92
  5. Step 5: Solve for x
    x = 192,552.92/410.52
  6. Step 6: Final answer
    x = 469.05

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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.