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Finding the Fourth Proportional to 508.64, 701.84 and 298.91

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Solution

The fourth proportional to 508.64, 701.84 and 298.91 is: 412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.64 : 701.84 = 298.91 : x
  2. Step 2: Convert to fraction form
    508.64/701.84 = 298.91/x
  3. Step 3: Cross multiply
    508.64x = 701.84 × 298.91
  4. Step 4: Simplify right side
    508.64x = 209,781.99
  5. Step 5: Solve for x
    x = 209,781.99/508.64
  6. Step 6: Final answer
    x = 412.44

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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.