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Finding the Fourth Proportional to 906.04, 1,358.66 and 386.28

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Solution

The fourth proportional to 906.04, 1,358.66 and 386.28 is: 579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.04 : 1,358.66 = 386.28 : x
  2. Step 2: Convert to fraction form
    906.04/1,358.66 = 386.28/x
  3. Step 3: Cross multiply
    906.04x = 1,358.66 × 386.28
  4. Step 4: Simplify right side
    906.04x = 524,823.18
  5. Step 5: Solve for x
    x = 524,823.18/906.04
  6. Step 6: Final answer
    x = 579.25

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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.