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Finding the Fourth Proportional to 433.14, 646.55 and 375.77

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Solution

The fourth proportional to 433.14, 646.55 and 375.77 is: 560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 646.55 = 375.77 : x
  2. Step 2: Convert to fraction form
    433.14/646.55 = 375.77/x
  3. Step 3: Cross multiply
    433.14x = 646.55 × 375.77
  4. Step 4: Simplify right side
    433.14x = 242,948.98
  5. Step 5: Solve for x
    x = 242,948.98/433.14
  6. Step 6: Final answer
    x = 560.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.