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Finding the Fourth Proportional to 572.70, 790.71 and 433.11

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Solution

The fourth proportional to 572.70, 790.71 and 433.11 is: 597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.70 : 790.71 = 433.11 : x
  2. Step 2: Convert to fraction form
    572.70/790.71 = 433.11/x
  3. Step 3: Cross multiply
    572.70x = 790.71 × 433.11
  4. Step 4: Simplify right side
    572.70x = 342,464.41
  5. Step 5: Solve for x
    x = 342,464.41/572.70
  6. Step 6: Final answer
    x = 597.98

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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.