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Finding the Fourth Proportional to 597.53, 824.63 and 449.93

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Solution

The fourth proportional to 597.53, 824.63 and 449.93 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.53 : 824.63 = 449.93 : x
  2. Step 2: Convert to fraction form
    597.53/824.63 = 449.93/x
  3. Step 3: Cross multiply
    597.53x = 824.63 × 449.93
  4. Step 4: Simplify right side
    597.53x = 371,019.40
  5. Step 5: Solve for x
    x = 371,019.40/597.53
  6. Step 6: Final answer
    x = 620.93

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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.