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Finding the Fourth Proportional to 478.31, 716.85 and 304.91

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Solution

The fourth proportional to 478.31, 716.85 and 304.91 is: 456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.31 : 716.85 = 304.91 : x
  2. Step 2: Convert to fraction form
    478.31/716.85 = 304.91/x
  3. Step 3: Cross multiply
    478.31x = 716.85 × 304.91
  4. Step 4: Simplify right side
    478.31x = 218,573.84
  5. Step 5: Solve for x
    x = 218,573.84/478.31
  6. Step 6: Final answer
    x = 456.98

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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.