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Finding the Fourth Proportional to 385.05, 529.68 and 355.77

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Solution

The fourth proportional to 385.05, 529.68 and 355.77 is: 489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.05 : 529.68 = 355.77 : x
  2. Step 2: Convert to fraction form
    385.05/529.68 = 355.77/x
  3. Step 3: Cross multiply
    385.05x = 529.68 × 355.77
  4. Step 4: Simplify right side
    385.05x = 188,444.25
  5. Step 5: Solve for x
    x = 188,444.25/385.05
  6. Step 6: Final answer
    x = 489.40

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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.