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Finding the Fourth Proportional to 508.08, 701.16 and 301.20

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Solution

The fourth proportional to 508.08, 701.16 and 301.20 is: 415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.08 : 701.16 = 301.20 : x
  2. Step 2: Convert to fraction form
    508.08/701.16 = 301.20/x
  3. Step 3: Cross multiply
    508.08x = 701.16 × 301.20
  4. Step 4: Simplify right side
    508.08x = 211,189.39
  5. Step 5: Solve for x
    x = 211,189.39/508.08
  6. Step 6: Final answer
    x = 415.66

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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.