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Finding the Fourth Proportional to 314.55, 473.54 and 233.91

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Solution

The fourth proportional to 314.55, 473.54 and 233.91 is: 352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.55 : 473.54 = 233.91 : x
  2. Step 2: Convert to fraction form
    314.55/473.54 = 233.91/x
  3. Step 3: Cross multiply
    314.55x = 473.54 × 233.91
  4. Step 4: Simplify right side
    314.55x = 110,764.57
  5. Step 5: Solve for x
    x = 110,764.57/314.55
  6. Step 6: Final answer
    x = 352.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.