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Finding the Fourth Proportional to 622.86, 935.88 and 470.22

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Solution

The fourth proportional to 622.86, 935.88 and 470.22 is: 706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.86 : 935.88 = 470.22 : x
  2. Step 2: Convert to fraction form
    622.86/935.88 = 470.22/x
  3. Step 3: Cross multiply
    622.86x = 935.88 × 470.22
  4. Step 4: Simplify right side
    622.86x = 440,068.32
  5. Step 5: Solve for x
    x = 440,068.32/622.86
  6. Step 6: Final answer
    x = 706.53

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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.