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Finding the Fourth Proportional to 385.02, 531.30 and 260.46

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Solution

The fourth proportional to 385.02, 531.30 and 260.46 is: 359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.02 : 531.30 = 260.46 : x
  2. Step 2: Convert to fraction form
    385.02/531.30 = 260.46/x
  3. Step 3: Cross multiply
    385.02x = 531.30 × 260.46
  4. Step 4: Simplify right side
    385.02x = 138,382.40
  5. Step 5: Solve for x
    x = 138,382.40/385.02
  6. Step 6: Final answer
    x = 359.42

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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.