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Finding the Fourth Proportional to 478.16, 716.34 and 295.64

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Solution

The fourth proportional to 478.16, 716.34 and 295.64 is: 442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.16 : 716.34 = 295.64 : x
  2. Step 2: Convert to fraction form
    478.16/716.34 = 295.64/x
  3. Step 3: Cross multiply
    478.16x = 716.34 × 295.64
  4. Step 4: Simplify right side
    478.16x = 211,778.76
  5. Step 5: Solve for x
    x = 211,778.76/478.16
  6. Step 6: Final answer
    x = 442.90

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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.