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Finding the Fourth Proportional to 387.61, 535.02 and 309.06

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Solution

The fourth proportional to 387.61, 535.02 and 309.06 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.61 : 535.02 = 309.06 : x
  2. Step 2: Convert to fraction form
    387.61/535.02 = 309.06/x
  3. Step 3: Cross multiply
    387.61x = 535.02 × 309.06
  4. Step 4: Simplify right side
    387.61x = 165,349.06
  5. Step 5: Solve for x
    x = 165,349.06/387.61
  6. Step 6: Final answer
    x = 426.59

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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.