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Finding the Fourth Proportional to 288.80, 432.70 and 278.14

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Solution

The fourth proportional to 288.80, 432.70 and 278.14 is: 416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.80 : 432.70 = 278.14 : x
  2. Step 2: Convert to fraction form
    288.80/432.70 = 278.14/x
  3. Step 3: Cross multiply
    288.80x = 432.70 × 278.14
  4. Step 4: Simplify right side
    288.80x = 120,349.40
  5. Step 5: Solve for x
    x = 120,349.40/288.80
  6. Step 6: Final answer
    x = 416.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.