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Finding the Fourth Proportional to 487.84, 673.16 and 266.76

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Solution

The fourth proportional to 487.84, 673.16 and 266.76 is: 368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.84 : 673.16 = 266.76 : x
  2. Step 2: Convert to fraction form
    487.84/673.16 = 266.76/x
  3. Step 3: Cross multiply
    487.84x = 673.16 × 266.76
  4. Step 4: Simplify right side
    487.84x = 179,572.16
  5. Step 5: Solve for x
    x = 179,572.16/487.84
  6. Step 6: Final answer
    x = 368.10

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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.