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Finding the Fourth Proportional to 651.35, 898.01 and 454.52

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Solution

The fourth proportional to 651.35, 898.01 and 454.52 is: 626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.35 : 898.01 = 454.52 : x
  2. Step 2: Convert to fraction form
    651.35/898.01 = 454.52/x
  3. Step 3: Cross multiply
    651.35x = 898.01 × 454.52
  4. Step 4: Simplify right side
    651.35x = 408,163.51
  5. Step 5: Solve for x
    x = 408,163.51/651.35
  6. Step 6: Final answer
    x = 626.64

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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.