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Finding the Fourth Proportional to 606.66, 836.30 and 429.07

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Solution

The fourth proportional to 606.66, 836.30 and 429.07 is: 591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.66 : 836.30 = 429.07 : x
  2. Step 2: Convert to fraction form
    606.66/836.30 = 429.07/x
  3. Step 3: Cross multiply
    606.66x = 836.30 × 429.07
  4. Step 4: Simplify right side
    606.66x = 358,831.24
  5. Step 5: Solve for x
    x = 358,831.24/606.66
  6. Step 6: Final answer
    x = 591.49

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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.