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Finding the Fourth Proportional to 900.84, 1,350.74 and 352.95

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Solution

The fourth proportional to 900.84, 1,350.74 and 352.95 is: 529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.84 : 1,350.74 = 352.95 : x
  2. Step 2: Convert to fraction form
    900.84/1,350.74 = 352.95/x
  3. Step 3: Cross multiply
    900.84x = 1,350.74 × 352.95
  4. Step 4: Simplify right side
    900.84x = 476,741.92
  5. Step 5: Solve for x
    x = 476,741.92/900.84
  6. Step 6: Final answer
    x = 529.22

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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.