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Finding the Fourth Proportional to 486.66, 730 and 412.84

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Solution

The fourth proportional to 486.66, 730 and 412.84 is: 619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.66 : 730 = 412.84 : x
  2. Step 2: Convert to fraction form
    486.66/730 = 412.84/x
  3. Step 3: Cross multiply
    486.66x = 730 × 412.84
  4. Step 4: Simplify right side
    486.66x = 301,373.20
  5. Step 5: Solve for x
    x = 301,373.20/486.66
  6. Step 6: Final answer
    x = 619.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.