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Finding the Fourth Proportional to 663.02, 914.96 and 368.29

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Solution

The fourth proportional to 663.02, 914.96 and 368.29 is: 508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 914.96 = 368.29 : x
  2. Step 2: Convert to fraction form
    663.02/914.96 = 368.29/x
  3. Step 3: Cross multiply
    663.02x = 914.96 × 368.29
  4. Step 4: Simplify right side
    663.02x = 336,969.25
  5. Step 5: Solve for x
    x = 336,969.25/663.02
  6. Step 6: Final answer
    x = 508.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.