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Finding the Fourth Proportional to 486.42, 670.98 and 309.06

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Solution

The fourth proportional to 486.42, 670.98 and 309.06 is: 426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.42 : 670.98 = 309.06 : x
  2. Step 2: Convert to fraction form
    486.42/670.98 = 309.06/x
  3. Step 3: Cross multiply
    486.42x = 670.98 × 309.06
  4. Step 4: Simplify right side
    486.42x = 207,373.08
  5. Step 5: Solve for x
    x = 207,373.08/486.42
  6. Step 6: Final answer
    x = 426.33

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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.