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Finding the Fourth Proportional to 597.68, 824.78 and 332.12

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Solution

The fourth proportional to 597.68, 824.78 and 332.12 is: 458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.68 : 824.78 = 332.12 : x
  2. Step 2: Convert to fraction form
    597.68/824.78 = 332.12/x
  3. Step 3: Cross multiply
    597.68x = 824.78 × 332.12
  4. Step 4: Simplify right side
    597.68x = 273,925.57
  5. Step 5: Solve for x
    x = 273,925.57/597.68
  6. Step 6: Final answer
    x = 458.32

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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.