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Finding the Fourth Proportional to 304.04, 419.68 and 210.91

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Solution

The fourth proportional to 304.04, 419.68 and 210.91 is: 291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.04 : 419.68 = 210.91 : x
  2. Step 2: Convert to fraction form
    304.04/419.68 = 210.91/x
  3. Step 3: Cross multiply
    304.04x = 419.68 × 210.91
  4. Step 4: Simplify right side
    304.04x = 88,515.30
  5. Step 5: Solve for x
    x = 88,515.30/304.04
  6. Step 6: Final answer
    x = 291.13

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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.