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Finding the Fourth Proportional to 284.51, 426.19 and 264.01

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Solution

The fourth proportional to 284.51, 426.19 and 264.01 is: 395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.51 : 426.19 = 264.01 : x
  2. Step 2: Convert to fraction form
    284.51/426.19 = 264.01/x
  3. Step 3: Cross multiply
    284.51x = 426.19 × 264.01
  4. Step 4: Simplify right side
    284.51x = 112,518.42
  5. Step 5: Solve for x
    x = 112,518.42/284.51
  6. Step 6: Final answer
    x = 395.48

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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.