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Finding the Fourth Proportional to 364.34, 503.04 and 253.77

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Solution

The fourth proportional to 364.34, 503.04 and 253.77 is: 350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.34 : 503.04 = 253.77 : x
  2. Step 2: Convert to fraction form
    364.34/503.04 = 253.77/x
  3. Step 3: Cross multiply
    364.34x = 503.04 × 253.77
  4. Step 4: Simplify right side
    364.34x = 127,656.46
  5. Step 5: Solve for x
    x = 127,656.46/364.34
  6. Step 6: Final answer
    x = 350.38

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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.