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Finding the Fourth Proportional to 582.40, 873.40 and 197.56

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Solution

The fourth proportional to 582.40, 873.40 and 197.56 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.40 : 873.40 = 197.56 : x
  2. Step 2: Convert to fraction form
    582.40/873.40 = 197.56/x
  3. Step 3: Cross multiply
    582.40x = 873.40 × 197.56
  4. Step 4: Simplify right side
    582.40x = 172,548.90
  5. Step 5: Solve for x
    x = 172,548.90/582.40
  6. Step 6: Final answer
    x = 296.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.