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Finding the Fourth Proportional to 600.40, 827.58 and 592.30

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Solution

The fourth proportional to 600.40, 827.58 and 592.30 is: 816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 827.58 = 592.30 : x
  2. Step 2: Convert to fraction form
    600.40/827.58 = 592.30/x
  3. Step 3: Cross multiply
    600.40x = 827.58 × 592.30
  4. Step 4: Simplify right side
    600.40x = 490,175.63
  5. Step 5: Solve for x
    x = 490,175.63/600.40
  6. Step 6: Final answer
    x = 816.42

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1.5x scale

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.