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Finding the Fourth Proportional to 487.84, 673.68 and 372.16

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Solution

The fourth proportional to 487.84, 673.68 and 372.16 is: 513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.84 : 673.68 = 372.16 : x
  2. Step 2: Convert to fraction form
    487.84/673.68 = 372.16/x
  3. Step 3: Cross multiply
    487.84x = 673.68 × 372.16
  4. Step 4: Simplify right side
    487.84x = 250,716.75
  5. Step 5: Solve for x
    x = 250,716.75/487.84
  6. Step 6: Final answer
    x = 513.93

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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.