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Finding the Fourth Proportional to 687.19, 948.35 and 418.01

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Solution

The fourth proportional to 687.19, 948.35 and 418.01 is: 576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.19 : 948.35 = 418.01 : x
  2. Step 2: Convert to fraction form
    687.19/948.35 = 418.01/x
  3. Step 3: Cross multiply
    687.19x = 948.35 × 418.01
  4. Step 4: Simplify right side
    687.19x = 396,417.69
  5. Step 5: Solve for x
    x = 396,417.69/687.19
  6. Step 6: Final answer
    x = 576.87

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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.