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Finding the Fourth Proportional to 556.04, 833.82 and 209.48

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Solution

The fourth proportional to 556.04, 833.82 and 209.48 is: 314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.04 : 833.82 = 209.48 : x
  2. Step 2: Convert to fraction form
    556.04/833.82 = 209.48/x
  3. Step 3: Cross multiply
    556.04x = 833.82 × 209.48
  4. Step 4: Simplify right side
    556.04x = 174,668.61
  5. Step 5: Solve for x
    x = 174,668.61/556.04
  6. Step 6: Final answer
    x = 314.13

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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.