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Finding the Fourth Proportional to 358.60, 535.61 and 286.24

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Solution

The fourth proportional to 358.60, 535.61 and 286.24 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.60 : 535.61 = 286.24 : x
  2. Step 2: Convert to fraction form
    358.60/535.61 = 286.24/x
  3. Step 3: Cross multiply
    358.60x = 535.61 × 286.24
  4. Step 4: Simplify right side
    358.60x = 153,313.01
  5. Step 5: Solve for x
    x = 153,313.01/358.60
  6. Step 6: Final answer
    x = 427.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.