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Finding the Fourth Proportional to 437.84, 603.52 and 297.91

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Solution

The fourth proportional to 437.84, 603.52 and 297.91 is: 410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.84 : 603.52 = 297.91 : x
  2. Step 2: Convert to fraction form
    437.84/603.52 = 297.91/x
  3. Step 3: Cross multiply
    437.84x = 603.52 × 297.91
  4. Step 4: Simplify right side
    437.84x = 179,794.65
  5. Step 5: Solve for x
    x = 179,794.65/437.84
  6. Step 6: Final answer
    x = 410.64

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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.