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Finding the Fourth Proportional to 487.84, 672.24 and 356.80

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Solution

The fourth proportional to 487.84, 672.24 and 356.80 is: 491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.84 : 672.24 = 356.80 : x
  2. Step 2: Convert to fraction form
    487.84/672.24 = 356.80/x
  3. Step 3: Cross multiply
    487.84x = 672.24 × 356.80
  4. Step 4: Simplify right side
    487.84x = 239,855.23
  5. Step 5: Solve for x
    x = 239,855.23/487.84
  6. Step 6: Final answer
    x = 491.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.