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Finding the Fourth Proportional to 670, 923.34 and 483.16

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Solution

The fourth proportional to 670, 923.34 and 483.16 is: 665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    670 : 923.34 = 483.16 : x
  2. Step 2: Convert to fraction form
    670/923.34 = 483.16/x
  3. Step 3: Cross multiply
    670x = 923.34 × 483.16
  4. Step 4: Simplify right side
    670x = 446,120.95
  5. Step 5: Solve for x
    x = 446,120.95/670
  6. Step 6: Final answer
    x = 665.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.