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Finding the Fourth Proportional to 478.58, 717.86 and 316.22

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Solution

The fourth proportional to 478.58, 717.86 and 316.22 is: 474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.58 : 717.86 = 316.22 : x
  2. Step 2: Convert to fraction form
    478.58/717.86 = 316.22/x
  3. Step 3: Cross multiply
    478.58x = 717.86 × 316.22
  4. Step 4: Simplify right side
    478.58x = 227,000.11
  5. Step 5: Solve for x
    x = 227,000.11/478.58
  6. Step 6: Final answer
    x = 474.33

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Why These Related Problems?

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