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Finding the Fourth Proportional to 569.06, 784.86 and 372.50

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Solution

The fourth proportional to 569.06, 784.86 and 372.50 is: 513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.06 : 784.86 = 372.50 : x
  2. Step 2: Convert to fraction form
    569.06/784.86 = 372.50/x
  3. Step 3: Cross multiply
    569.06x = 784.86 × 372.50
  4. Step 4: Simplify right side
    569.06x = 292,360.35
  5. Step 5: Solve for x
    x = 292,360.35/569.06
  6. Step 6: Final answer
    x = 513.76

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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.