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Finding the Fourth Proportional to 380.48, 524.93 and 214.66

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Solution

The fourth proportional to 380.48, 524.93 and 214.66 is: 296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.48 : 524.93 = 214.66 : x
  2. Step 2: Convert to fraction form
    380.48/524.93 = 214.66/x
  3. Step 3: Cross multiply
    380.48x = 524.93 × 214.66
  4. Step 4: Simplify right side
    380.48x = 112,681.47
  5. Step 5: Solve for x
    x = 112,681.47/380.48
  6. Step 6: Final answer
    x = 296.16

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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.