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Finding the Fourth Proportional to 477.50, 716.00 and 203.45

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Solution

The fourth proportional to 477.50, 716.00 and 203.45 is: 305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.50 : 716.00 = 203.45 : x
  2. Step 2: Convert to fraction form
    477.50/716.00 = 203.45/x
  3. Step 3: Cross multiply
    477.50x = 716.00 × 203.45
  4. Step 4: Simplify right side
    477.50x = 145,665.60
  5. Step 5: Solve for x
    x = 145,665.60/477.50
  6. Step 6: Final answer
    x = 305.06

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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.