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Finding the Fourth Proportional to 477.60, 716.04 and 203.40

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Solution

The fourth proportional to 477.60, 716.04 and 203.40 is: 304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.60 : 716.04 = 203.40 : x
  2. Step 2: Convert to fraction form
    477.60/716.04 = 203.40/x
  3. Step 3: Cross multiply
    477.60x = 716.04 × 203.40
  4. Step 4: Simplify right side
    477.60x = 145,642.54
  5. Step 5: Solve for x
    x = 145,642.54/477.60
  6. Step 6: Final answer
    x = 304.95

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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.