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Finding the Fourth Proportional to 651.16, 898.93 and 402.83

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Solution

The fourth proportional to 651.16, 898.93 and 402.83 is: 556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 898.93 = 402.83 : x
  2. Step 2: Convert to fraction form
    651.16/898.93 = 402.83/x
  3. Step 3: Cross multiply
    651.16x = 898.93 × 402.83
  4. Step 4: Simplify right side
    651.16x = 362,115.97
  5. Step 5: Solve for x
    x = 362,115.97/651.16
  6. Step 6: Final answer
    x = 556.11

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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.