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Finding the Fourth Proportional to 605.52, 903.24 and 537.84

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Solution

The fourth proportional to 605.52, 903.24 and 537.84 is: 802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.52 : 903.24 = 537.84 : x
  2. Step 2: Convert to fraction form
    605.52/903.24 = 537.84/x
  3. Step 3: Cross multiply
    605.52x = 903.24 × 537.84
  4. Step 4: Simplify right side
    605.52x = 485,798.60
  5. Step 5: Solve for x
    x = 485,798.60/605.52
  6. Step 6: Final answer
    x = 802.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.