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Finding the Fourth Proportional to 557.38, 840.55 and 553.74

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Solution

The fourth proportional to 557.38, 840.55 and 553.74 is: 835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.38 : 840.55 = 553.74 : x
  2. Step 2: Convert to fraction form
    557.38/840.55 = 553.74/x
  3. Step 3: Cross multiply
    557.38x = 840.55 × 553.74
  4. Step 4: Simplify right side
    557.38x = 465,444.22
  5. Step 5: Solve for x
    x = 465,444.22/557.38
  6. Step 6: Final answer
    x = 835.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.