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Finding the Fourth Proportional to 566.24, 776.74 and 510.56

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Solution

The fourth proportional to 566.24, 776.74 and 510.56 is: 700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.24 : 776.74 = 510.56 : x
  2. Step 2: Convert to fraction form
    566.24/776.74 = 510.56/x
  3. Step 3: Cross multiply
    566.24x = 776.74 × 510.56
  4. Step 4: Simplify right side
    566.24x = 396,572.37
  5. Step 5: Solve for x
    x = 396,572.37/566.24
  6. Step 6: Final answer
    x = 700.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.