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Finding the Fourth Proportional to 387.84, 581.76 and 377.28

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Solution

The fourth proportional to 387.84, 581.76 and 377.28 is: 565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.84 : 581.76 = 377.28 : x
  2. Step 2: Convert to fraction form
    387.84/581.76 = 377.28/x
  3. Step 3: Cross multiply
    387.84x = 581.76 × 377.28
  4. Step 4: Simplify right side
    387.84x = 219,486.41
  5. Step 5: Solve for x
    x = 219,486.41/387.84
  6. Step 6: Final answer
    x = 565.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.