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Finding the Fourth Proportional to 434.52, 599.40 and 318.42

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Solution

The fourth proportional to 434.52, 599.40 and 318.42 is: 439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.52 : 599.40 = 318.42 : x
  2. Step 2: Convert to fraction form
    434.52/599.40 = 318.42/x
  3. Step 3: Cross multiply
    434.52x = 599.40 × 318.42
  4. Step 4: Simplify right side
    434.52x = 190,860.95
  5. Step 5: Solve for x
    x = 190,860.95/434.52
  6. Step 6: Final answer
    x = 439.25

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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.