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Finding the Fourth Proportional to 562.72, 777.35 and 445.48

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Solution

The fourth proportional to 562.72, 777.35 and 445.48 is: 615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.72 : 777.35 = 445.48 : x
  2. Step 2: Convert to fraction form
    562.72/777.35 = 445.48/x
  3. Step 3: Cross multiply
    562.72x = 777.35 × 445.48
  4. Step 4: Simplify right side
    562.72x = 346,293.88
  5. Step 5: Solve for x
    x = 346,293.88/562.72
  6. Step 6: Final answer
    x = 615.39

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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.