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Finding the Fourth Proportional to 478.67, 716.58 and 295.47

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Solution

The fourth proportional to 478.67, 716.58 and 295.47 is: 442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.67 : 716.58 = 295.47 : x
  2. Step 2: Convert to fraction form
    478.67/716.58 = 295.47/x
  3. Step 3: Cross multiply
    478.67x = 716.58 × 295.47
  4. Step 4: Simplify right side
    478.67x = 211,727.89
  5. Step 5: Solve for x
    x = 211,727.89/478.67
  6. Step 6: Final answer
    x = 442.33

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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.