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Finding the Fourth Proportional to 345.58, 476.91 and 214.63

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Solution

The fourth proportional to 345.58, 476.91 and 214.63 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.58 : 476.91 = 214.63 : x
  2. Step 2: Convert to fraction form
    345.58/476.91 = 214.63/x
  3. Step 3: Cross multiply
    345.58x = 476.91 × 214.63
  4. Step 4: Simplify right side
    345.58x = 102,359.19
  5. Step 5: Solve for x
    x = 102,359.19/345.58
  6. Step 6: Final answer
    x = 296.20

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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.