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Finding the Fourth Proportional to 557.33, 769.86 and 427.95

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Solution

The fourth proportional to 557.33, 769.86 and 427.95 is: 591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.33 : 769.86 = 427.95 : x
  2. Step 2: Convert to fraction form
    557.33/769.86 = 427.95/x
  3. Step 3: Cross multiply
    557.33x = 769.86 × 427.95
  4. Step 4: Simplify right side
    557.33x = 329,461.59
  5. Step 5: Solve for x
    x = 329,461.59/557.33
  6. Step 6: Final answer
    x = 591.15

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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.