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Finding the Fourth Proportional to 364.86, 503.54 and 207.50

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Solution

The fourth proportional to 364.86, 503.54 and 207.50 is: 286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.86 : 503.54 = 207.50 : x
  2. Step 2: Convert to fraction form
    364.86/503.54 = 207.50/x
  3. Step 3: Cross multiply
    364.86x = 503.54 × 207.50
  4. Step 4: Simplify right side
    364.86x = 104,484.55
  5. Step 5: Solve for x
    x = 104,484.55/364.86
  6. Step 6: Final answer
    x = 286.37

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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.