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Finding the Fourth Proportional to 316.84, 437.08 and 233.77

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Solution

The fourth proportional to 316.84, 437.08 and 233.77 is: 322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.84 : 437.08 = 233.77 : x
  2. Step 2: Convert to fraction form
    316.84/437.08 = 233.77/x
  3. Step 3: Cross multiply
    316.84x = 437.08 × 233.77
  4. Step 4: Simplify right side
    316.84x = 102,176.19
  5. Step 5: Solve for x
    x = 102,176.19/316.84
  6. Step 6: Final answer
    x = 322.49

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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.