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Finding the Fourth Proportional to 387.42, 533.70 and 365.82

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Solution

The fourth proportional to 387.42, 533.70 and 365.82 is: 503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.42 : 533.70 = 365.82 : x
  2. Step 2: Convert to fraction form
    387.42/533.70 = 365.82/x
  3. Step 3: Cross multiply
    387.42x = 533.70 × 365.82
  4. Step 4: Simplify right side
    387.42x = 195,238.13
  5. Step 5: Solve for x
    x = 195,238.13/387.42
  6. Step 6: Final answer
    x = 503.94

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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.