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Finding the Fourth Proportional to 556.26, 769.20 and 507.24

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Solution

The fourth proportional to 556.26, 769.20 and 507.24 is: 701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.26 : 769.20 = 507.24 : x
  2. Step 2: Convert to fraction form
    556.26/769.20 = 507.24/x
  3. Step 3: Cross multiply
    556.26x = 769.20 × 507.24
  4. Step 4: Simplify right side
    556.26x = 390,169.01
  5. Step 5: Solve for x
    x = 390,169.01/556.26
  6. Step 6: Final answer
    x = 701.41

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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.