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Finding the Fourth Proportional to 434.92, 601.90 and 424.12

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Solution

The fourth proportional to 434.92, 601.90 and 424.12 is: 586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.92 : 601.90 = 424.12 : x
  2. Step 2: Convert to fraction form
    434.92/601.90 = 424.12/x
  3. Step 3: Cross multiply
    434.92x = 601.90 × 424.12
  4. Step 4: Simplify right side
    434.92x = 255,277.83
  5. Step 5: Solve for x
    x = 255,277.83/434.92
  6. Step 6: Final answer
    x = 586.95

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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.