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Finding the Fourth Proportional to 563, 776.86 and 341.92

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Solution

The fourth proportional to 563, 776.86 and 341.92 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 776.86 = 341.92 : x
  2. Step 2: Convert to fraction form
    563/776.86 = 341.92/x
  3. Step 3: Cross multiply
    563x = 776.86 × 341.92
  4. Step 4: Simplify right side
    563x = 265,623.97
  5. Step 5: Solve for x
    x = 265,623.97/563
  6. Step 6: Final answer
    x = 471.80

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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.