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Finding the Fourth Proportional to 434.10, 599.07 and 268.18

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Solution

The fourth proportional to 434.10, 599.07 and 268.18 is: 370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.10 : 599.07 = 268.18 : x
  2. Step 2: Convert to fraction form
    434.10/599.07 = 268.18/x
  3. Step 3: Cross multiply
    434.10x = 599.07 × 268.18
  4. Step 4: Simplify right side
    434.10x = 160,658.59
  5. Step 5: Solve for x
    x = 160,658.59/434.10
  6. Step 6: Final answer
    x = 370.10

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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.