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Finding the Fourth Proportional to 652.06, 898.78 and 455.22

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Solution

The fourth proportional to 652.06, 898.78 and 455.22 is: 627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.06 : 898.78 = 455.22 : x
  2. Step 2: Convert to fraction form
    652.06/898.78 = 455.22/x
  3. Step 3: Cross multiply
    652.06x = 898.78 × 455.22
  4. Step 4: Simplify right side
    652.06x = 409,142.63
  5. Step 5: Solve for x
    x = 409,142.63/652.06
  6. Step 6: Final answer
    x = 627.46

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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.