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Finding the Fourth Proportional to 606.42, 910.71 and 529.92

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Solution

The fourth proportional to 606.42, 910.71 and 529.92 is: 795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.42 : 910.71 = 529.92 : x
  2. Step 2: Convert to fraction form
    606.42/910.71 = 529.92/x
  3. Step 3: Cross multiply
    606.42x = 910.71 × 529.92
  4. Step 4: Simplify right side
    606.42x = 482,603.44
  5. Step 5: Solve for x
    x = 482,603.44/606.42
  6. Step 6: Final answer
    x = 795.82

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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.