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Finding the Fourth Proportional to 652.74, 900.89 and 456.11

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Solution

The fourth proportional to 652.74, 900.89 and 456.11 is: 629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.74 : 900.89 = 456.11 : x
  2. Step 2: Convert to fraction form
    652.74/900.89 = 456.11/x
  3. Step 3: Cross multiply
    652.74x = 900.89 × 456.11
  4. Step 4: Simplify right side
    652.74x = 410,903.24
  5. Step 5: Solve for x
    x = 410,903.24/652.74
  6. Step 6: Final answer
    x = 629.51

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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.