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Finding the Fourth Proportional to 345.76, 476.90 and 214.84

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Solution

The fourth proportional to 345.76, 476.90 and 214.84 is: 296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.76 : 476.90 = 214.84 : x
  2. Step 2: Convert to fraction form
    345.76/476.90 = 214.84/x
  3. Step 3: Cross multiply
    345.76x = 476.90 × 214.84
  4. Step 4: Simplify right side
    345.76x = 102,457.20
  5. Step 5: Solve for x
    x = 102,457.20/345.76
  6. Step 6: Final answer
    x = 296.32

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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.