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Finding the Fourth Proportional to 557.77, 770.07 and 433.21

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Solution

The fourth proportional to 557.77, 770.07 and 433.21 is: 598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.77 : 770.07 = 433.21 : x
  2. Step 2: Convert to fraction form
    557.77/770.07 = 433.21/x
  3. Step 3: Cross multiply
    557.77x = 770.07 × 433.21
  4. Step 4: Simplify right side
    557.77x = 333,602.02
  5. Step 5: Solve for x
    x = 333,602.02/557.77
  6. Step 6: Final answer
    x = 598.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.