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Finding the Fourth Proportional to 369.24, 509.60 and 214

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Solution

The fourth proportional to 369.24, 509.60 and 214 is: 295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.24 : 509.60 = 214 : x
  2. Step 2: Convert to fraction form
    369.24/509.60 = 214/x
  3. Step 3: Cross multiply
    369.24x = 509.60 × 214
  4. Step 4: Simplify right side
    369.24x = 109,054.40
  5. Step 5: Solve for x
    x = 109,054.40/369.24
  6. Step 6: Final answer
    x = 295.35

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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.