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Finding the Fourth Proportional to 663.08, 914.96 and 368.24

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Solution

The fourth proportional to 663.08, 914.96 and 368.24 is: 508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.08 : 914.96 = 368.24 : x
  2. Step 2: Convert to fraction form
    663.08/914.96 = 368.24/x
  3. Step 3: Cross multiply
    663.08x = 914.96 × 368.24
  4. Step 4: Simplify right side
    663.08x = 336,921.22
  5. Step 5: Solve for x
    x = 336,921.22/663.08
  6. Step 6: Final answer
    x = 508.12

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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.