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Finding the Fourth Proportional to 909.58, 1,364.56 and 284.87

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Solution

The fourth proportional to 909.58, 1,364.56 and 284.87 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.58 : 1,364.56 = 284.87 : x
  2. Step 2: Convert to fraction form
    909.58/1,364.56 = 284.87/x
  3. Step 3: Cross multiply
    909.58x = 1,364.56 × 284.87
  4. Step 4: Simplify right side
    909.58x = 388,718.83
  5. Step 5: Solve for x
    x = 388,718.83/909.58
  6. Step 6: Final answer
    x = 427.36

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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.