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Finding the Fourth Proportional to 470.81, 706.32 and 464.74

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Solution

The fourth proportional to 470.81, 706.32 and 464.74 is: 697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.81 : 706.32 = 464.74 : x
  2. Step 2: Convert to fraction form
    470.81/706.32 = 464.74/x
  3. Step 3: Cross multiply
    470.81x = 706.32 × 464.74
  4. Step 4: Simplify right side
    470.81x = 328,253.39
  5. Step 5: Solve for x
    x = 328,253.39/470.81
  6. Step 6: Final answer
    x = 697.21

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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.