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Finding the Fourth Proportional to 651.25, 898.82 and 402.56

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Solution

The fourth proportional to 651.25, 898.82 and 402.56 is: 555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.25 : 898.82 = 402.56 : x
  2. Step 2: Convert to fraction form
    651.25/898.82 = 402.56/x
  3. Step 3: Cross multiply
    651.25x = 898.82 × 402.56
  4. Step 4: Simplify right side
    651.25x = 361,823.48
  5. Step 5: Solve for x
    x = 361,823.48/651.25
  6. Step 6: Final answer
    x = 555.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.