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Finding the Fourth Proportional to 601.23, 830.07 and 424.65

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Solution

The fourth proportional to 601.23, 830.07 and 424.65 is: 586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.23 : 830.07 = 424.65 : x
  2. Step 2: Convert to fraction form
    601.23/830.07 = 424.65/x
  3. Step 3: Cross multiply
    601.23x = 830.07 × 424.65
  4. Step 4: Simplify right side
    601.23x = 352,489.23
  5. Step 5: Solve for x
    x = 352,489.23/601.23
  6. Step 6: Final answer
    x = 586.28

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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.