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Finding the Fourth Proportional to 597.21, 823.71 and 348.52

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Solution

The fourth proportional to 597.21, 823.71 and 348.52 is: 480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.21 : 823.71 = 348.52 : x
  2. Step 2: Convert to fraction form
    597.21/823.71 = 348.52/x
  3. Step 3: Cross multiply
    597.21x = 823.71 × 348.52
  4. Step 4: Simplify right side
    597.21x = 287,079.41
  5. Step 5: Solve for x
    x = 287,079.41/597.21
  6. Step 6: Final answer
    x = 480.70

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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.