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Finding the Fourth Proportional to 470.88, 706.34 and 288.16

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Solution

The fourth proportional to 470.88, 706.34 and 288.16 is: 432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.88 : 706.34 = 288.16 : x
  2. Step 2: Convert to fraction form
    470.88/706.34 = 288.16/x
  3. Step 3: Cross multiply
    470.88x = 706.34 × 288.16
  4. Step 4: Simplify right side
    470.88x = 203,538.93
  5. Step 5: Solve for x
    x = 203,538.93/470.88
  6. Step 6: Final answer
    x = 432.25

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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.