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Finding the Fourth Proportional to 529.95, 730.56 and 382.35

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Solution

The fourth proportional to 529.95, 730.56 and 382.35 is: 527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.95 : 730.56 = 382.35 : x
  2. Step 2: Convert to fraction form
    529.95/730.56 = 382.35/x
  3. Step 3: Cross multiply
    529.95x = 730.56 × 382.35
  4. Step 4: Simplify right side
    529.95x = 279,329.62
  5. Step 5: Solve for x
    x = 279,329.62/529.95
  6. Step 6: Final answer
    x = 527.09

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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.