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Finding the Fourth Proportional to 434.57, 600.48 and 355.66

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Solution

The fourth proportional to 434.57, 600.48 and 355.66 is: 491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.57 : 600.48 = 355.66 : x
  2. Step 2: Convert to fraction form
    434.57/600.48 = 355.66/x
  3. Step 3: Cross multiply
    434.57x = 600.48 × 355.66
  4. Step 4: Simplify right side
    434.57x = 213,565.22
  5. Step 5: Solve for x
    x = 213,565.22/434.57
  6. Step 6: Final answer
    x = 491.45

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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.