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Finding the Fourth Proportional to 652.44, 900.02 and 403.56

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Solution

The fourth proportional to 652.44, 900.02 and 403.56 is: 556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.44 : 900.02 = 403.56 : x
  2. Step 2: Convert to fraction form
    652.44/900.02 = 403.56/x
  3. Step 3: Cross multiply
    652.44x = 900.02 × 403.56
  4. Step 4: Simplify right side
    652.44x = 363,212.07
  5. Step 5: Solve for x
    x = 363,212.07/652.44
  6. Step 6: Final answer
    x = 556.70

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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.