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Finding the Fourth Proportional to 670.84, 925.24 and 471.32

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Solution

The fourth proportional to 670.84, 925.24 and 471.32 is: 650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.84 : 925.24 = 471.32 : x
  2. Step 2: Convert to fraction form
    670.84/925.24 = 471.32/x
  3. Step 3: Cross multiply
    670.84x = 925.24 × 471.32
  4. Step 4: Simplify right side
    670.84x = 436,084.12
  5. Step 5: Solve for x
    x = 436,084.12/670.84
  6. Step 6: Final answer
    x = 650.06

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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.