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Finding the Fourth Proportional to 412.74, 569.82 and 302.10

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Solution

The fourth proportional to 412.74, 569.82 and 302.10 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.74 : 569.82 = 302.10 : x
  2. Step 2: Convert to fraction form
    412.74/569.82 = 302.10/x
  3. Step 3: Cross multiply
    412.74x = 569.82 × 302.10
  4. Step 4: Simplify right side
    412.74x = 172,142.62
  5. Step 5: Solve for x
    x = 172,142.62/412.74
  6. Step 6: Final answer
    x = 417.07

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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.