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Finding the Fourth Proportional to 570.62, 786.62 and 491.60

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Solution

The fourth proportional to 570.62, 786.62 and 491.60 is: 677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.62 : 786.62 = 491.60 : x
  2. Step 2: Convert to fraction form
    570.62/786.62 = 491.60/x
  3. Step 3: Cross multiply
    570.62x = 786.62 × 491.60
  4. Step 4: Simplify right side
    570.62x = 386,702.39
  5. Step 5: Solve for x
    x = 386,702.39/570.62
  6. Step 6: Final answer
    x = 677.69

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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.