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Finding the Fourth Proportional to 387.87, 534.63 and 317.80

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Solution

The fourth proportional to 387.87, 534.63 and 317.80 is: 438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.87 : 534.63 = 317.80 : x
  2. Step 2: Convert to fraction form
    387.87/534.63 = 317.80/x
  3. Step 3: Cross multiply
    387.87x = 534.63 × 317.80
  4. Step 4: Simplify right side
    387.87x = 169,905.02
  5. Step 5: Solve for x
    x = 169,905.02/387.87
  6. Step 6: Final answer
    x = 438.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.