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Finding the Fourth Proportional to 557.78, 770.00 and 433.14

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Solution

The fourth proportional to 557.78, 770.00 and 433.14 is: 597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.78 : 770.00 = 433.14 : x
  2. Step 2: Convert to fraction form
    557.78/770.00 = 433.14/x
  3. Step 3: Cross multiply
    557.78x = 770.00 × 433.14
  4. Step 4: Simplify right side
    557.78x = 333,515.63
  5. Step 5: Solve for x
    x = 333,515.63/557.78
  6. Step 6: Final answer
    x = 597.94

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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.