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Finding the Fourth Proportional to 369.75, 510.32 and 214.59

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Solution

The fourth proportional to 369.75, 510.32 and 214.59 is: 296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.75 : 510.32 = 214.59 : x
  2. Step 2: Convert to fraction form
    369.75/510.32 = 214.59/x
  3. Step 3: Cross multiply
    369.75x = 510.32 × 214.59
  4. Step 4: Simplify right side
    369.75x = 109,508.50
  5. Step 5: Solve for x
    x = 109,508.50/369.75
  6. Step 6: Final answer
    x = 296.17

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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.