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Finding the Fourth Proportional to 900.83, 1,351.33 and 242.82

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Solution

The fourth proportional to 900.83, 1,351.33 and 242.82 is: 364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.83 : 1,351.33 = 242.82 : x
  2. Step 2: Convert to fraction form
    900.83/1,351.33 = 242.82/x
  3. Step 3: Cross multiply
    900.83x = 1,351.33 × 242.82
  4. Step 4: Simplify right side
    900.83x = 328,129.34
  5. Step 5: Solve for x
    x = 328,129.34/900.83
  6. Step 6: Final answer
    x = 364.25

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