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Finding the Fourth Proportional to 600.10, 826.21 and 467.16

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Solution

The fourth proportional to 600.10, 826.21 and 467.16 is: 643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.10 : 826.21 = 467.16 : x
  2. Step 2: Convert to fraction form
    600.10/826.21 = 467.16/x
  3. Step 3: Cross multiply
    600.10x = 826.21 × 467.16
  4. Step 4: Simplify right side
    600.10x = 385,969.93
  5. Step 5: Solve for x
    x = 385,969.93/600.10
  6. Step 6: Final answer
    x = 643.18

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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.