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Finding the Fourth Proportional to 315.60, 470.87 and 280.95

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Solution

The fourth proportional to 315.60, 470.87 and 280.95 is: 419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.60 : 470.87 = 280.95 : x
  2. Step 2: Convert to fraction form
    315.60/470.87 = 280.95/x
  3. Step 3: Cross multiply
    315.60x = 470.87 × 280.95
  4. Step 4: Simplify right side
    315.60x = 132,289.52
  5. Step 5: Solve for x
    x = 132,289.52/315.60
  6. Step 6: Final answer
    x = 419.17

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