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Finding the Fourth Proportional to 387.76, 534.60 and 309.32

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Solution

The fourth proportional to 387.76, 534.60 and 309.32 is: 426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.76 : 534.60 = 309.32 : x
  2. Step 2: Convert to fraction form
    387.76/534.60 = 309.32/x
  3. Step 3: Cross multiply
    387.76x = 534.60 × 309.32
  4. Step 4: Simplify right side
    387.76x = 165,362.47
  5. Step 5: Solve for x
    x = 165,362.47/387.76
  6. Step 6: Final answer
    x = 426.46

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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.