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Finding the Fourth Proportional to 487.90, 727.98 and 476.84

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Solution

The fourth proportional to 487.90, 727.98 and 476.84 is: 711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.90 : 727.98 = 476.84 : x
  2. Step 2: Convert to fraction form
    487.90/727.98 = 476.84/x
  3. Step 3: Cross multiply
    487.90x = 727.98 × 476.84
  4. Step 4: Simplify right side
    487.90x = 347,129.98
  5. Step 5: Solve for x
    x = 347,129.98/487.90
  6. Step 6: Final answer
    x = 711.48

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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.