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Finding the Fourth Proportional to 903.10, 1,354.66 and 286.81

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Solution

The fourth proportional to 903.10, 1,354.66 and 286.81 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.10 : 1,354.66 = 286.81 : x
  2. Step 2: Convert to fraction form
    903.10/1,354.66 = 286.81/x
  3. Step 3: Cross multiply
    903.10x = 1,354.66 × 286.81
  4. Step 4: Simplify right side
    903.10x = 388,530.03
  5. Step 5: Solve for x
    x = 388,530.03/903.10
  6. Step 6: Final answer
    x = 430.22

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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.