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Finding the Fourth Proportional to 368.50, 550.71 and 296.02

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Solution

The fourth proportional to 368.50, 550.71 and 296.02 is: 442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.50 : 550.71 = 296.02 : x
  2. Step 2: Convert to fraction form
    368.50/550.71 = 296.02/x
  3. Step 3: Cross multiply
    368.50x = 550.71 × 296.02
  4. Step 4: Simplify right side
    368.50x = 163,021.17
  5. Step 5: Solve for x
    x = 163,021.17/368.50
  6. Step 6: Final answer
    x = 442.39

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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.