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Finding the Fourth Proportional to 597.57, 824.57 and 348.95

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Solution

The fourth proportional to 597.57, 824.57 and 348.95 is: 481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.57 : 824.57 = 348.95 : x
  2. Step 2: Convert to fraction form
    597.57/824.57 = 348.95/x
  3. Step 3: Cross multiply
    597.57x = 824.57 × 348.95
  4. Step 4: Simplify right side
    597.57x = 287,727.83
  5. Step 5: Solve for x
    x = 287,727.83/597.57
  6. Step 6: Final answer
    x = 481.50

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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.