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Finding the Fourth Proportional to 470.33, 705.47 and 210.17

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Solution

The fourth proportional to 470.33, 705.47 and 210.17 is: 315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.33 : 705.47 = 210.17 : x
  2. Step 2: Convert to fraction form
    470.33/705.47 = 210.17/x
  3. Step 3: Cross multiply
    470.33x = 705.47 × 210.17
  4. Step 4: Simplify right side
    470.33x = 148,268.63
  5. Step 5: Solve for x
    x = 148,268.63/470.33
  6. Step 6: Final answer
    x = 315.24

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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.