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Finding the Fourth Proportional to 556.35, 767.75 and 307.66

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Solution

The fourth proportional to 556.35, 767.75 and 307.66 is: 424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.35 : 767.75 = 307.66 : x
  2. Step 2: Convert to fraction form
    556.35/767.75 = 307.66/x
  3. Step 3: Cross multiply
    556.35x = 767.75 × 307.66
  4. Step 4: Simplify right side
    556.35x = 236,205.97
  5. Step 5: Solve for x
    x = 236,205.97/556.35
  6. Step 6: Final answer
    x = 424.56

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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.