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Finding the Fourth Proportional to 900.51, 1,350.76 and 284.26

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Solution

The fourth proportional to 900.51, 1,350.76 and 284.26 is: 426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.51 : 1,350.76 = 284.26 : x
  2. Step 2: Convert to fraction form
    900.51/1,350.76 = 284.26/x
  3. Step 3: Cross multiply
    900.51x = 1,350.76 × 284.26
  4. Step 4: Simplify right side
    900.51x = 383,967.04
  5. Step 5: Solve for x
    x = 383,967.04/900.51
  6. Step 6: Final answer
    x = 426.39

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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.