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Finding the Fourth Proportional to 314.83, 434.62 and 210.10

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Solution

The fourth proportional to 314.83, 434.62 and 210.10 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.83 : 434.62 = 210.10 : x
  2. Step 2: Convert to fraction form
    314.83/434.62 = 210.10/x
  3. Step 3: Cross multiply
    314.83x = 434.62 × 210.10
  4. Step 4: Simplify right side
    314.83x = 91,313.66
  5. Step 5: Solve for x
    x = 91,313.66/314.83
  6. Step 6: Final answer
    x = 290.04

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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.