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Finding the Fourth Proportional to 470.65, 706.08 and 145.99

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Solution

The fourth proportional to 470.65, 706.08 and 145.99 is: 219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.65 : 706.08 = 145.99 : x
  2. Step 2: Convert to fraction form
    470.65/706.08 = 145.99/x
  3. Step 3: Cross multiply
    470.65x = 706.08 × 145.99
  4. Step 4: Simplify right side
    470.65x = 103,080.62
  5. Step 5: Solve for x
    x = 103,080.62/470.65
  6. Step 6: Final answer
    x = 219.02

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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.