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Finding the Fourth Proportional to 280.65, 420.98 and 233.13

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Solution

The fourth proportional to 280.65, 420.98 and 233.13 is: 349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.65 : 420.98 = 233.13 : x
  2. Step 2: Convert to fraction form
    280.65/420.98 = 233.13/x
  3. Step 3: Cross multiply
    280.65x = 420.98 × 233.13
  4. Step 4: Simplify right side
    280.65x = 98,141.90
  5. Step 5: Solve for x
    x = 98,141.90/280.65
  6. Step 6: Final answer
    x = 349.70

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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.