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Finding the Fourth Proportional to 597.17, 823.95 and 348.50

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Solution

The fourth proportional to 597.17, 823.95 and 348.50 is: 480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 823.95 = 348.50 : x
  2. Step 2: Convert to fraction form
    597.17/823.95 = 348.50/x
  3. Step 3: Cross multiply
    597.17x = 823.95 × 348.50
  4. Step 4: Simplify right side
    597.17x = 287,148.63
  5. Step 5: Solve for x
    x = 287,148.63/597.17
  6. Step 6: Final answer
    x = 480.85

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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.