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Finding the Fourth Proportional to 434.42, 599.47 and 247.91

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Solution

The fourth proportional to 434.42, 599.47 and 247.91 is: 342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.42 : 599.47 = 247.91 : x
  2. Step 2: Convert to fraction form
    434.42/599.47 = 247.91/x
  3. Step 3: Cross multiply
    434.42x = 599.47 × 247.91
  4. Step 4: Simplify right side
    434.42x = 148,614.61
  5. Step 5: Solve for x
    x = 148,614.61/434.42
  6. Step 6: Final answer
    x = 342.10

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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.