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Finding the Fourth Proportional to 437.19, 602.80 and 297.19

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Solution

The fourth proportional to 437.19, 602.80 and 297.19 is: 409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.19 : 602.80 = 297.19 : x
  2. Step 2: Convert to fraction form
    437.19/602.80 = 297.19/x
  3. Step 3: Cross multiply
    437.19x = 602.80 × 297.19
  4. Step 4: Simplify right side
    437.19x = 179,146.13
  5. Step 5: Solve for x
    x = 179,146.13/437.19
  6. Step 6: Final answer
    x = 409.77

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