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Finding the Fourth Proportional to 535, 800.94 and 432.49

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Solution

The fourth proportional to 535, 800.94 and 432.49 is: 647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 800.94 = 432.49 : x
  2. Step 2: Convert to fraction form
    535/800.94 = 432.49/x
  3. Step 3: Cross multiply
    535x = 800.94 × 432.49
  4. Step 4: Simplify right side
    535x = 346,398.54
  5. Step 5: Solve for x
    x = 346,398.54/535
  6. Step 6: Final answer
    x = 647.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.