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Finding the Fourth Proportional to 478.90, 716.93 and 446.10

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Solution

The fourth proportional to 478.90, 716.93 and 446.10 is: 667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.90 : 716.93 = 446.10 : x
  2. Step 2: Convert to fraction form
    478.90/716.93 = 446.10/x
  3. Step 3: Cross multiply
    478.90x = 716.93 × 446.10
  4. Step 4: Simplify right side
    478.90x = 319,822.47
  5. Step 5: Solve for x
    x = 319,822.47/478.90
  6. Step 6: Final answer
    x = 667.83

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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.