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Finding the Fourth Proportional to 652.83, 900.96 and 432.21

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Solution

The fourth proportional to 652.83, 900.96 and 432.21 is: 596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.83 : 900.96 = 432.21 : x
  2. Step 2: Convert to fraction form
    652.83/900.96 = 432.21/x
  3. Step 3: Cross multiply
    652.83x = 900.96 × 432.21
  4. Step 4: Simplify right side
    652.83x = 389,403.92
  5. Step 5: Solve for x
    x = 389,403.92/652.83
  6. Step 6: Final answer
    x = 596.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.