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Finding the Fourth Proportional to 651.43, 898.86 and 402.83

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Solution

The fourth proportional to 651.43, 898.86 and 402.83 is: 555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.43 : 898.86 = 402.83 : x
  2. Step 2: Convert to fraction form
    651.43/898.86 = 402.83/x
  3. Step 3: Cross multiply
    651.43x = 898.86 × 402.83
  4. Step 4: Simplify right side
    651.43x = 362,087.77
  5. Step 5: Solve for x
    x = 362,087.77/651.43
  6. Step 6: Final answer
    x = 555.84

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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.