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Finding the Fourth Proportional to 556.10, 833.69 and 278.27

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Solution

The fourth proportional to 556.10, 833.69 and 278.27 is: 417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.10 : 833.69 = 278.27 : x
  2. Step 2: Convert to fraction form
    556.10/833.69 = 278.27/x
  3. Step 3: Cross multiply
    556.10x = 833.69 × 278.27
  4. Step 4: Simplify right side
    556.10x = 231,985.36
  5. Step 5: Solve for x
    x = 231,985.36/556.10
  6. Step 6: Final answer
    x = 417.17

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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.