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Finding the Fourth Proportional to 364.70, 503.15 and 286.32

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Solution

The fourth proportional to 364.70, 503.15 and 286.32 is: 395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.70 : 503.15 = 286.32 : x
  2. Step 2: Convert to fraction form
    364.70/503.15 = 286.32/x
  3. Step 3: Cross multiply
    364.70x = 503.15 × 286.32
  4. Step 4: Simplify right side
    364.70x = 144,061.91
  5. Step 5: Solve for x
    x = 144,061.91/364.70
  6. Step 6: Final answer
    x = 395.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.