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Finding the Fourth Proportional to 600.35, 828.16 and 364.16

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Solution

The fourth proportional to 600.35, 828.16 and 364.16 is: 502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.35 : 828.16 = 364.16 : x
  2. Step 2: Convert to fraction form
    600.35/828.16 = 364.16/x
  3. Step 3: Cross multiply
    600.35x = 828.16 × 364.16
  4. Step 4: Simplify right side
    600.35x = 301,583.91
  5. Step 5: Solve for x
    x = 301,583.91/600.35
  6. Step 6: Final answer
    x = 502.35

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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.