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Finding the Fourth Proportional to 315.70, 473.45 and 206.77

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Solution

The fourth proportional to 315.70, 473.45 and 206.77 is: 310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.70 : 473.45 = 206.77 : x
  2. Step 2: Convert to fraction form
    315.70/473.45 = 206.77/x
  3. Step 3: Cross multiply
    315.70x = 473.45 × 206.77
  4. Step 4: Simplify right side
    315.70x = 97,895.26
  5. Step 5: Solve for x
    x = 97,895.26/315.70
  6. Step 6: Final answer
    x = 310.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.