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Finding the Fourth Proportional to 437.34, 604.76 and 368.24

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Solution

The fourth proportional to 437.34, 604.76 and 368.24 is: 509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.34 : 604.76 = 368.24 : x
  2. Step 2: Convert to fraction form
    437.34/604.76 = 368.24/x
  3. Step 3: Cross multiply
    437.34x = 604.76 × 368.24
  4. Step 4: Simplify right side
    437.34x = 222,691.96
  5. Step 5: Solve for x
    x = 222,691.96/437.34
  6. Step 6: Final answer
    x = 509.20

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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.