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Finding the Fourth Proportional to 652.96, 900.32 and 528.24

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Solution

The fourth proportional to 652.96, 900.32 and 528.24 is: 728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.96 : 900.32 = 528.24 : x
  2. Step 2: Convert to fraction form
    652.96/900.32 = 528.24/x
  3. Step 3: Cross multiply
    652.96x = 900.32 × 528.24
  4. Step 4: Simplify right side
    652.96x = 475,577.89
  5. Step 5: Solve for x
    x = 475,577.89/652.96
  6. Step 6: Final answer
    x = 728.34

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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.