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Finding the Fourth Proportional to 691.92, 954.88 and 412.08

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Solution

The fourth proportional to 691.92, 954.88 and 412.08 is: 568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.92 : 954.88 = 412.08 : x
  2. Step 2: Convert to fraction form
    691.92/954.88 = 412.08/x
  3. Step 3: Cross multiply
    691.92x = 954.88 × 412.08
  4. Step 4: Simplify right side
    691.92x = 393,486.95
  5. Step 5: Solve for x
    x = 393,486.95/691.92
  6. Step 6: Final answer
    x = 568.69

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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.