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Finding the Fourth Proportional to 557.47, 770.13 and 440.22

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Solution

The fourth proportional to 557.47, 770.13 and 440.22 is: 608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.47 : 770.13 = 440.22 : x
  2. Step 2: Convert to fraction form
    557.47/770.13 = 440.22/x
  3. Step 3: Cross multiply
    557.47x = 770.13 × 440.22
  4. Step 4: Simplify right side
    557.47x = 339,029.52
  5. Step 5: Solve for x
    x = 339,029.52/557.47
  6. Step 6: Final answer
    x = 608.16

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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.