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Finding the Fourth Proportional to 569.68, 785.33 and 490.65

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Solution

The fourth proportional to 569.68, 785.33 and 490.65 is: 676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.68 : 785.33 = 490.65 : x
  2. Step 2: Convert to fraction form
    569.68/785.33 = 490.65/x
  3. Step 3: Cross multiply
    569.68x = 785.33 × 490.65
  4. Step 4: Simplify right side
    569.68x = 385,319.71
  5. Step 5: Solve for x
    x = 385,319.71/569.68
  6. Step 6: Final answer
    x = 676.39

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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.