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Finding the Fourth Proportional to 508.02, 701.10 and 311.51

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Solution

The fourth proportional to 508.02, 701.10 and 311.51 is: 429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.02 : 701.10 = 311.51 : x
  2. Step 2: Convert to fraction form
    508.02/701.10 = 311.51/x
  3. Step 3: Cross multiply
    508.02x = 701.10 × 311.51
  4. Step 4: Simplify right side
    508.02x = 218,396.16
  5. Step 5: Solve for x
    x = 218,396.16/508.02
  6. Step 6: Final answer
    x = 429.90

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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.