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Finding the Fourth Proportional to 569.48, 785.22 and 499.28

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Solution

The fourth proportional to 569.48, 785.22 and 499.28 is: 688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.48 : 785.22 = 499.28 : x
  2. Step 2: Convert to fraction form
    569.48/785.22 = 499.28/x
  3. Step 3: Cross multiply
    569.48x = 785.22 × 499.28
  4. Step 4: Simplify right side
    569.48x = 392,044.64
  5. Step 5: Solve for x
    x = 392,044.64/569.48
  6. Step 6: Final answer
    x = 688.43

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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.