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Finding the Fourth Proportional to 600.87, 829.20 and 364.77

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Solution

The fourth proportional to 600.87, 829.20 and 364.77 is: 503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.87 : 829.20 = 364.77 : x
  2. Step 2: Convert to fraction form
    600.87/829.20 = 364.77/x
  3. Step 3: Cross multiply
    600.87x = 829.20 × 364.77
  4. Step 4: Simplify right side
    600.87x = 302,467.28
  5. Step 5: Solve for x
    x = 302,467.28/600.87
  6. Step 6: Final answer
    x = 503.38

Related Problems

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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.