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Finding the Fourth Proportional to 562.93, 777.04 and 376.34

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Solution

The fourth proportional to 562.93, 777.04 and 376.34 is: 519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.93 : 777.04 = 376.34 : x
  2. Step 2: Convert to fraction form
    562.93/777.04 = 376.34/x
  3. Step 3: Cross multiply
    562.93x = 777.04 × 376.34
  4. Step 4: Simplify right side
    562.93x = 292,426.41
  5. Step 5: Solve for x
    x = 292,426.41/562.93
  6. Step 6: Final answer
    x = 519.47

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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.