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Finding the Fourth Proportional to 556.59, 768.07 and 307.90

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Solution

The fourth proportional to 556.59, 768.07 and 307.90 is: 424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.59 : 768.07 = 307.90 : x
  2. Step 2: Convert to fraction form
    556.59/768.07 = 307.90/x
  3. Step 3: Cross multiply
    556.59x = 768.07 × 307.90
  4. Step 4: Simplify right side
    556.59x = 236,488.75
  5. Step 5: Solve for x
    x = 236,488.75/556.59
  6. Step 6: Final answer
    x = 424.89

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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.