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Finding the Fourth Proportional to 434.88, 600.35 and 302.75

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Solution

The fourth proportional to 434.88, 600.35 and 302.75 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.88 : 600.35 = 302.75 : x
  2. Step 2: Convert to fraction form
    434.88/600.35 = 302.75/x
  3. Step 3: Cross multiply
    434.88x = 600.35 × 302.75
  4. Step 4: Simplify right side
    434.88x = 181,755.95
  5. Step 5: Solve for x
    x = 181,755.95/434.88
  6. Step 6: Final answer
    x = 417.95

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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.