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Finding the Fourth Proportional to 557.95, 770.11 and 438.07

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Solution

The fourth proportional to 557.95, 770.11 and 438.07 is: 604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.95 : 770.11 = 438.07 : x
  2. Step 2: Convert to fraction form
    557.95/770.11 = 438.07/x
  3. Step 3: Cross multiply
    557.95x = 770.11 × 438.07
  4. Step 4: Simplify right side
    557.95x = 337,362.09
  5. Step 5: Solve for x
    x = 337,362.09/557.95
  6. Step 6: Final answer
    x = 604.65

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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.