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Finding the Fourth Proportional to 601.18, 830.00 and 490.91

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Solution

The fourth proportional to 601.18, 830.00 and 490.91 is: 677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.18 : 830.00 = 490.91 : x
  2. Step 2: Convert to fraction form
    601.18/830.00 = 490.91/x
  3. Step 3: Cross multiply
    601.18x = 830.00 × 490.91
  4. Step 4: Simplify right side
    601.18x = 407,458.60
  5. Step 5: Solve for x
    x = 407,458.60/601.18
  6. Step 6: Final answer
    x = 677.77

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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.