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Finding the Fourth Proportional to 307.42, 423.75 and 209.32

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Solution

The fourth proportional to 307.42, 423.75 and 209.32 is: 288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.42 : 423.75 = 209.32 : x
  2. Step 2: Convert to fraction form
    307.42/423.75 = 209.32/x
  3. Step 3: Cross multiply
    307.42x = 423.75 × 209.32
  4. Step 4: Simplify right side
    307.42x = 88,699.35
  5. Step 5: Solve for x
    x = 88,699.35/307.42
  6. Step 6: Final answer
    x = 288.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.