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Finding the Fourth Proportional to 910.36, 1,365.84 and 423.45

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Solution

The fourth proportional to 910.36, 1,365.84 and 423.45 is: 635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.36 : 1,365.84 = 423.45 : x
  2. Step 2: Convert to fraction form
    910.36/1,365.84 = 423.45/x
  3. Step 3: Cross multiply
    910.36x = 1,365.84 × 423.45
  4. Step 4: Simplify right side
    910.36x = 578,364.95
  5. Step 5: Solve for x
    x = 578,364.95/910.36
  6. Step 6: Final answer
    x = 635.31

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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.