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Finding the Fourth Proportional to 935.40, 1,403.06 and 286.14

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Solution

The fourth proportional to 935.40, 1,403.06 and 286.14 is: 429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.40 : 1,403.06 = 286.14 : x
  2. Step 2: Convert to fraction form
    935.40/1,403.06 = 286.14/x
  3. Step 3: Cross multiply
    935.40x = 1,403.06 × 286.14
  4. Step 4: Simplify right side
    935.40x = 401,467.53
  5. Step 5: Solve for x
    x = 401,467.53/935.40
  6. Step 6: Final answer
    x = 429.19

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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.