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Finding the Fourth Proportional to 318.58, 478.01 and 202.99

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Solution

The fourth proportional to 318.58, 478.01 and 202.99 is: 304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.58 : 478.01 = 202.99 : x
  2. Step 2: Convert to fraction form
    318.58/478.01 = 202.99/x
  3. Step 3: Cross multiply
    318.58x = 478.01 × 202.99
  4. Step 4: Simplify right side
    318.58x = 97,031.25
  5. Step 5: Solve for x
    x = 97,031.25/318.58
  6. Step 6: Final answer
    x = 304.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.