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Finding the Fourth Proportional to 606.42, 910 and 401.58

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Solution

The fourth proportional to 606.42, 910 and 401.58 is: 602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.42 : 910 = 401.58 : x
  2. Step 2: Convert to fraction form
    606.42/910 = 401.58/x
  3. Step 3: Cross multiply
    606.42x = 910 × 401.58
  4. Step 4: Simplify right side
    606.42x = 365,437.80
  5. Step 5: Solve for x
    x = 365,437.80/606.42
  6. Step 6: Final answer
    x = 602.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.