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Finding the Fourth Proportional to 900.16, 1,349.96 and 352.19

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Solution

The fourth proportional to 900.16, 1,349.96 and 352.19 is: 528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.16 : 1,349.96 = 352.19 : x
  2. Step 2: Convert to fraction form
    900.16/1,349.96 = 352.19/x
  3. Step 3: Cross multiply
    900.16x = 1,349.96 × 352.19
  4. Step 4: Simplify right side
    900.16x = 475,442.41
  5. Step 5: Solve for x
    x = 475,442.41/900.16
  6. Step 6: Final answer
    x = 528.18

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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.