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Finding the Fourth Proportional to 345.52, 477.26 and 304.21

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Solution

The fourth proportional to 345.52, 477.26 and 304.21 is: 420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 477.26 = 304.21 : x
  2. Step 2: Convert to fraction form
    345.52/477.26 = 304.21/x
  3. Step 3: Cross multiply
    345.52x = 477.26 × 304.21
  4. Step 4: Simplify right side
    345.52x = 145,187.26
  5. Step 5: Solve for x
    x = 145,187.26/345.52
  6. Step 6: Final answer
    x = 420.20

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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.