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Finding the Fourth Proportional to 652.88, 900.78 and 528.68

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Solution

The fourth proportional to 652.88, 900.78 and 528.68 is: 729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.88 : 900.78 = 528.68 : x
  2. Step 2: Convert to fraction form
    652.88/900.78 = 528.68/x
  3. Step 3: Cross multiply
    652.88x = 900.78 × 528.68
  4. Step 4: Simplify right side
    652.88x = 476,224.37
  5. Step 5: Solve for x
    x = 476,224.37/652.88
  6. Step 6: Final answer
    x = 729.42

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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.