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Finding the Fourth Proportional to 364.00, 502.35 and 206.64

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Solution

The fourth proportional to 364.00, 502.35 and 206.64 is: 285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.00 : 502.35 = 206.64 : x
  2. Step 2: Convert to fraction form
    364.00/502.35 = 206.64/x
  3. Step 3: Cross multiply
    364.00x = 502.35 × 206.64
  4. Step 4: Simplify right side
    364.00x = 103,802.58
  5. Step 5: Solve for x
    x = 103,802.58/364.00
  6. Step 6: Final answer
    x = 285.17

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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.