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Finding the Fourth Proportional to 508.68, 701.91 and 298.83

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Solution

The fourth proportional to 508.68, 701.91 and 298.83 is: 412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.68 : 701.91 = 298.83 : x
  2. Step 2: Convert to fraction form
    508.68/701.91 = 298.83/x
  3. Step 3: Cross multiply
    508.68x = 701.91 × 298.83
  4. Step 4: Simplify right side
    508.68x = 209,751.77
  5. Step 5: Solve for x
    x = 209,751.77/508.68
  6. Step 6: Final answer
    x = 412.35

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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.