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Finding the Fourth Proportional to 322.76, 482.88 and 277.16

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Solution

The fourth proportional to 322.76, 482.88 and 277.16 is: 414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.76 : 482.88 = 277.16 : x
  2. Step 2: Convert to fraction form
    322.76/482.88 = 277.16/x
  3. Step 3: Cross multiply
    322.76x = 482.88 × 277.16
  4. Step 4: Simplify right side
    322.76x = 133,835.02
  5. Step 5: Solve for x
    x = 133,835.02/322.76
  6. Step 6: Final answer
    x = 414.66

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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.