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Finding the Fourth Proportional to 652.56, 900.36 and 431.52

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Solution

The fourth proportional to 652.56, 900.36 and 431.52 is: 595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.56 : 900.36 = 431.52 : x
  2. Step 2: Convert to fraction form
    652.56/900.36 = 431.52/x
  3. Step 3: Cross multiply
    652.56x = 900.36 × 431.52
  4. Step 4: Simplify right side
    652.56x = 388,523.35
  5. Step 5: Solve for x
    x = 388,523.35/652.56
  6. Step 6: Final answer
    x = 595.38

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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.