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Finding the Fourth Proportional to 670.16, 923.28 and 633.68

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Solution

The fourth proportional to 670.16, 923.28 and 633.68 is: 873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.16 : 923.28 = 633.68 : x
  2. Step 2: Convert to fraction form
    670.16/923.28 = 633.68/x
  3. Step 3: Cross multiply
    670.16x = 923.28 × 633.68
  4. Step 4: Simplify right side
    670.16x = 585,064.07
  5. Step 5: Solve for x
    x = 585,064.07/670.16
  6. Step 6: Final answer
    x = 873.02

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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.