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Finding the Fourth Proportional to 434.74, 599.98 and 260.08

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Solution

The fourth proportional to 434.74, 599.98 and 260.08 is: 358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.74 : 599.98 = 260.08 : x
  2. Step 2: Convert to fraction form
    434.74/599.98 = 260.08/x
  3. Step 3: Cross multiply
    434.74x = 599.98 × 260.08
  4. Step 4: Simplify right side
    434.74x = 156,042.80
  5. Step 5: Solve for x
    x = 156,042.80/434.74
  6. Step 6: Final answer
    x = 358.93

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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.