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Finding the Fourth Proportional to 569.24, 786.02 and 359.76

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Solution

The fourth proportional to 569.24, 786.02 and 359.76 is: 496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.24 : 786.02 = 359.76 : x
  2. Step 2: Convert to fraction form
    569.24/786.02 = 359.76/x
  3. Step 3: Cross multiply
    569.24x = 786.02 × 359.76
  4. Step 4: Simplify right side
    569.24x = 282,776.76
  5. Step 5: Solve for x
    x = 282,776.76/569.24
  6. Step 6: Final answer
    x = 496.77

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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.