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Finding the Fourth Proportional to 497.84, 687.07 and 288.01

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Solution

The fourth proportional to 497.84, 687.07 and 288.01 is: 397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.84 : 687.07 = 288.01 : x
  2. Step 2: Convert to fraction form
    497.84/687.07 = 288.01/x
  3. Step 3: Cross multiply
    497.84x = 687.07 × 288.01
  4. Step 4: Simplify right side
    497.84x = 197,882.88
  5. Step 5: Solve for x
    x = 197,882.88/497.84
  6. Step 6: Final answer
    x = 397.48

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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.