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Finding the Fourth Proportional to 597.60, 824.55 and 348.78

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Solution

The fourth proportional to 597.60, 824.55 and 348.78 is: 481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.60 : 824.55 = 348.78 : x
  2. Step 2: Convert to fraction form
    597.60/824.55 = 348.78/x
  3. Step 3: Cross multiply
    597.60x = 824.55 × 348.78
  4. Step 4: Simplify right side
    597.60x = 287,582.74
  5. Step 5: Solve for x
    x = 287,582.74/597.60
  6. Step 6: Final answer
    x = 481.23

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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.