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Finding the Fourth Proportional to 652.64, 901.01 and 453.75

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Solution

The fourth proportional to 652.64, 901.01 and 453.75 is: 626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.64 : 901.01 = 453.75 : x
  2. Step 2: Convert to fraction form
    652.64/901.01 = 453.75/x
  3. Step 3: Cross multiply
    652.64x = 901.01 × 453.75
  4. Step 4: Simplify right side
    652.64x = 408,831.02
  5. Step 5: Solve for x
    x = 408,831.02/652.64
  6. Step 6: Final answer
    x = 626.43

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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.