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Finding the Fourth Proportional to 597.93, 824.83 and 450.31

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Solution

The fourth proportional to 597.93, 824.83 and 450.31 is: 621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.93 : 824.83 = 450.31 : x
  2. Step 2: Convert to fraction form
    597.93/824.83 = 450.31/x
  3. Step 3: Cross multiply
    597.93x = 824.83 × 450.31
  4. Step 4: Simplify right side
    597.93x = 371,426.01
  5. Step 5: Solve for x
    x = 371,426.01/597.93
  6. Step 6: Final answer
    x = 621.19

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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.