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Finding the Fourth Proportional to 280, 419.76 and 232

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Solution

The fourth proportional to 280, 419.76 and 232 is: 347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280 : 419.76 = 232 : x
  2. Step 2: Convert to fraction form
    280/419.76 = 232/x
  3. Step 3: Cross multiply
    280x = 419.76 × 232
  4. Step 4: Simplify right side
    280x = 97,384.32
  5. Step 5: Solve for x
    x = 97,384.32/280
  6. Step 6: Final answer
    x = 347.80

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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.