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Finding the Fourth Proportional to 387.40, 533.10 and 371.02

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Solution

The fourth proportional to 387.40, 533.10 and 371.02 is: 510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.40 : 533.10 = 371.02 : x
  2. Step 2: Convert to fraction form
    387.40/533.10 = 371.02/x
  3. Step 3: Cross multiply
    387.40x = 533.10 × 371.02
  4. Step 4: Simplify right side
    387.40x = 197,790.76
  5. Step 5: Solve for x
    x = 197,790.76/387.40
  6. Step 6: Final answer
    x = 510.56

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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.