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Finding the Fourth Proportional to 347.55, 477.07 and 307.33

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Solution

The fourth proportional to 347.55, 477.07 and 307.33 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.55 : 477.07 = 307.33 : x
  2. Step 2: Convert to fraction form
    347.55/477.07 = 307.33/x
  3. Step 3: Cross multiply
    347.55x = 477.07 × 307.33
  4. Step 4: Simplify right side
    347.55x = 146,616.12
  5. Step 5: Solve for x
    x = 146,616.12/347.55
  6. Step 6: Final answer
    x = 421.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.