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Finding the Fourth Proportional to 434.10, 599.07 and 247.59

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Solution

The fourth proportional to 434.10, 599.07 and 247.59 is: 341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.10 : 599.07 = 247.59 : x
  2. Step 2: Convert to fraction form
    434.10/599.07 = 247.59/x
  3. Step 3: Cross multiply
    434.10x = 599.07 × 247.59
  4. Step 4: Simplify right side
    434.10x = 148,323.74
  5. Step 5: Solve for x
    x = 148,323.74/434.10
  6. Step 6: Final answer
    x = 341.68

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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.