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Finding the Fourth Proportional to 377.04, 520.02 and 293.88

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Solution

The fourth proportional to 377.04, 520.02 and 293.88 is: 405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.04 : 520.02 = 293.88 : x
  2. Step 2: Convert to fraction form
    377.04/520.02 = 293.88/x
  3. Step 3: Cross multiply
    377.04x = 520.02 × 293.88
  4. Step 4: Simplify right side
    377.04x = 152,823.48
  5. Step 5: Solve for x
    x = 152,823.48/377.04
  6. Step 6: Final answer
    x = 405.32

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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.