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Finding the Fourth Proportional to 556.24, 835.04 and 510.96

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Solution

The fourth proportional to 556.24, 835.04 and 510.96 is: 767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.24 : 835.04 = 510.96 : x
  2. Step 2: Convert to fraction form
    556.24/835.04 = 510.96/x
  3. Step 3: Cross multiply
    556.24x = 835.04 × 510.96
  4. Step 4: Simplify right side
    556.24x = 426,672.04
  5. Step 5: Solve for x
    x = 426,672.04/556.24
  6. Step 6: Final answer
    x = 767.06

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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.