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Finding the Fourth Proportional to 478.50, 716.94 and 295.50

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Solution

The fourth proportional to 478.50, 716.94 and 295.50 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 716.94 = 295.50 : x
  2. Step 2: Convert to fraction form
    478.50/716.94 = 295.50/x
  3. Step 3: Cross multiply
    478.50x = 716.94 × 295.50
  4. Step 4: Simplify right side
    478.50x = 211,855.77
  5. Step 5: Solve for x
    x = 211,855.77/478.50
  6. Step 6: Final answer
    x = 442.75

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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.