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Finding the Fourth Proportional to 651.17, 898.36 and 402.05

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Solution

The fourth proportional to 651.17, 898.36 and 402.05 is: 554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.17 : 898.36 = 402.05 : x
  2. Step 2: Convert to fraction form
    651.17/898.36 = 402.05/x
  3. Step 3: Cross multiply
    651.17x = 898.36 × 402.05
  4. Step 4: Simplify right side
    651.17x = 361,186.88
  5. Step 5: Solve for x
    x = 361,186.88/651.17
  6. Step 6: Final answer
    x = 554.68

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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.