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Finding the Fourth Proportional to 478.80, 713.99 and 440.93

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Solution

The fourth proportional to 478.80, 713.99 and 440.93 is: 657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.80 : 713.99 = 440.93 : x
  2. Step 2: Convert to fraction form
    478.80/713.99 = 440.93/x
  3. Step 3: Cross multiply
    478.80x = 713.99 × 440.93
  4. Step 4: Simplify right side
    478.80x = 314,822.50
  5. Step 5: Solve for x
    x = 314,822.50/478.80
  6. Step 6: Final answer
    x = 657.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.