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Finding the Fourth Proportional to 364.38, 503.01 and 266.64

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Solution

The fourth proportional to 364.38, 503.01 and 266.64 is: 368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.38 : 503.01 = 266.64 : x
  2. Step 2: Convert to fraction form
    364.38/503.01 = 266.64/x
  3. Step 3: Cross multiply
    364.38x = 503.01 × 266.64
  4. Step 4: Simplify right side
    364.38x = 134,122.59
  5. Step 5: Solve for x
    x = 134,122.59/364.38
  6. Step 6: Final answer
    x = 368.08

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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.