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Finding the Fourth Proportional to 403.65, 602.00 and 364.77

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Solution

The fourth proportional to 403.65, 602.00 and 364.77 is: 544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.65 : 602.00 = 364.77 : x
  2. Step 2: Convert to fraction form
    403.65/602.00 = 364.77/x
  3. Step 3: Cross multiply
    403.65x = 602.00 × 364.77
  4. Step 4: Simplify right side
    403.65x = 219,589.72
  5. Step 5: Solve for x
    x = 219,589.72/403.65
  6. Step 6: Final answer
    x = 544.01

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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.