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Finding the Fourth Proportional to 434.40, 600.24 and 317.76

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Solution

The fourth proportional to 434.40, 600.24 and 317.76 is: 439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 600.24 = 317.76 : x
  2. Step 2: Convert to fraction form
    434.40/600.24 = 317.76/x
  3. Step 3: Cross multiply
    434.40x = 600.24 × 317.76
  4. Step 4: Simplify right side
    434.40x = 190,732.26
  5. Step 5: Solve for x
    x = 190,732.26/434.40
  6. Step 6: Final answer
    x = 439.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.