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Finding the Fourth Proportional to 470.40, 705.08 and 210.08

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Solution

The fourth proportional to 470.40, 705.08 and 210.08 is: 314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 705.08 = 210.08 : x
  2. Step 2: Convert to fraction form
    470.40/705.08 = 210.08/x
  3. Step 3: Cross multiply
    470.40x = 705.08 × 210.08
  4. Step 4: Simplify right side
    470.40x = 148,123.21
  5. Step 5: Solve for x
    x = 148,123.21/470.40
  6. Step 6: Final answer
    x = 314.89

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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.