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Finding the Fourth Proportional to 556.47, 767.96 and 307.79

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Solution

The fourth proportional to 556.47, 767.96 and 307.79 is: 424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.47 : 767.96 = 307.79 : x
  2. Step 2: Convert to fraction form
    556.47/767.96 = 307.79/x
  3. Step 3: Cross multiply
    556.47x = 767.96 × 307.79
  4. Step 4: Simplify right side
    556.47x = 236,369.06
  5. Step 5: Solve for x
    x = 236,369.06/556.47
  6. Step 6: Final answer
    x = 424.77

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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.