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Finding the Fourth Proportional to 345.61, 477.02 and 235.35

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Solution

The fourth proportional to 345.61, 477.02 and 235.35 is: 324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.61 : 477.02 = 235.35 : x
  2. Step 2: Convert to fraction form
    345.61/477.02 = 235.35/x
  3. Step 3: Cross multiply
    345.61x = 477.02 × 235.35
  4. Step 4: Simplify right side
    345.61x = 112,266.66
  5. Step 5: Solve for x
    x = 112,266.66/345.61
  6. Step 6: Final answer
    x = 324.84

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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.