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Finding the Fourth Proportional to 387.76, 578.88 and 364.56

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Solution

The fourth proportional to 387.76, 578.88 and 364.56 is: 544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.76 : 578.88 = 364.56 : x
  2. Step 2: Convert to fraction form
    387.76/578.88 = 364.56/x
  3. Step 3: Cross multiply
    387.76x = 578.88 × 364.56
  4. Step 4: Simplify right side
    387.76x = 211,036.49
  5. Step 5: Solve for x
    x = 211,036.49/387.76
  6. Step 6: Final answer
    x = 544.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.