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Finding the Fourth Proportional to 600.20, 904.10 and 563.76

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Solution

The fourth proportional to 600.20, 904.10 and 563.76 is: 849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.20 : 904.10 = 563.76 : x
  2. Step 2: Convert to fraction form
    600.20/904.10 = 563.76/x
  3. Step 3: Cross multiply
    600.20x = 904.10 × 563.76
  4. Step 4: Simplify right side
    600.20x = 509,695.42
  5. Step 5: Solve for x
    x = 509,695.42/600.20
  6. Step 6: Final answer
    x = 849.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.