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Finding the Fourth Proportional to 569.47, 786.15 and 359.74

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Solution

The fourth proportional to 569.47, 786.15 and 359.74 is: 496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.47 : 786.15 = 359.74 : x
  2. Step 2: Convert to fraction form
    569.47/786.15 = 359.74/x
  3. Step 3: Cross multiply
    569.47x = 786.15 × 359.74
  4. Step 4: Simplify right side
    569.47x = 282,809.60
  5. Step 5: Solve for x
    x = 282,809.60/569.47
  6. Step 6: Final answer
    x = 496.62

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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.