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Finding the Fourth Proportional to 470.48, 705.71 and 210.13

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Solution

The fourth proportional to 470.48, 705.71 and 210.13 is: 315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 705.71 = 210.13 : x
  2. Step 2: Convert to fraction form
    470.48/705.71 = 210.13/x
  3. Step 3: Cross multiply
    470.48x = 705.71 × 210.13
  4. Step 4: Simplify right side
    470.48x = 148,289.60
  5. Step 5: Solve for x
    x = 148,289.60/470.48
  6. Step 6: Final answer
    x = 315.19

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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.