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Finding the Fourth Proportional to 487.96, 676.95 and 464.20

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Solution

The fourth proportional to 487.96, 676.95 and 464.20 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.96 : 676.95 = 464.20 : x
  2. Step 2: Convert to fraction form
    487.96/676.95 = 464.20/x
  3. Step 3: Cross multiply
    487.96x = 676.95 × 464.20
  4. Step 4: Simplify right side
    487.96x = 314,240.19
  5. Step 5: Solve for x
    x = 314,240.19/487.96
  6. Step 6: Final answer
    x = 643.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.