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Finding the Fourth Proportional to 652.32, 899.82 and 456.30

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Solution

The fourth proportional to 652.32, 899.82 and 456.30 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 899.82 = 456.30 : x
  2. Step 2: Convert to fraction form
    652.32/899.82 = 456.30/x
  3. Step 3: Cross multiply
    652.32x = 899.82 × 456.30
  4. Step 4: Simplify right side
    652.32x = 410,587.87
  5. Step 5: Solve for x
    x = 410,587.87/652.32
  6. Step 6: Final answer
    x = 629.43

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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.