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Finding the Fourth Proportional to 582.24, 873.52 and 274.24

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Solution

The fourth proportional to 582.24, 873.52 and 274.24 is: 411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 873.52 = 274.24 : x
  2. Step 2: Convert to fraction form
    582.24/873.52 = 274.24/x
  3. Step 3: Cross multiply
    582.24x = 873.52 × 274.24
  4. Step 4: Simplify right side
    582.24x = 239,554.12
  5. Step 5: Solve for x
    x = 239,554.12/582.24
  6. Step 6: Final answer
    x = 411.44

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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.