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Finding the Fourth Proportional to 478.96, 718.62 and 235.24

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Solution

The fourth proportional to 478.96, 718.62 and 235.24 is: 352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 718.62 = 235.24 : x
  2. Step 2: Convert to fraction form
    478.96/718.62 = 235.24/x
  3. Step 3: Cross multiply
    478.96x = 718.62 × 235.24
  4. Step 4: Simplify right side
    478.96x = 169,048.17
  5. Step 5: Solve for x
    x = 169,048.17/478.96
  6. Step 6: Final answer
    x = 352.95

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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.