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Finding the Fourth Proportional to 385.63, 529.00 and 364.70

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Solution

The fourth proportional to 385.63, 529.00 and 364.70 is: 500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.63 : 529.00 = 364.70 : x
  2. Step 2: Convert to fraction form
    385.63/529.00 = 364.70/x
  3. Step 3: Cross multiply
    385.63x = 529.00 × 364.70
  4. Step 4: Simplify right side
    385.63x = 192,926.71
  5. Step 5: Solve for x
    x = 192,926.71/385.63
  6. Step 6: Final answer
    x = 500.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.