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Finding the Fourth Proportional to 597.63, 824.22 and 457.50

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Solution

The fourth proportional to 597.63, 824.22 and 457.50 is: 630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.63 : 824.22 = 457.50 : x
  2. Step 2: Convert to fraction form
    597.63/824.22 = 457.50/x
  3. Step 3: Cross multiply
    597.63x = 824.22 × 457.50
  4. Step 4: Simplify right side
    597.63x = 377,080.65
  5. Step 5: Solve for x
    x = 377,080.65/597.63
  6. Step 6: Final answer
    x = 630.96

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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.