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Finding the Fourth Proportional to 606.78, 837.42 and 524.16

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Solution

The fourth proportional to 606.78, 837.42 and 524.16 is: 723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.78 : 837.42 = 524.16 : x
  2. Step 2: Convert to fraction form
    606.78/837.42 = 524.16/x
  3. Step 3: Cross multiply
    606.78x = 837.42 × 524.16
  4. Step 4: Simplify right side
    606.78x = 438,942.07
  5. Step 5: Solve for x
    x = 438,942.07/606.78
  6. Step 6: Final answer
    x = 723.40

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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.