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Finding the Fourth Proportional to 670.10, 924.72 and 408.14

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Solution

The fourth proportional to 670.10, 924.72 and 408.14 is: 563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.10 : 924.72 = 408.14 : x
  2. Step 2: Convert to fraction form
    670.10/924.72 = 408.14/x
  3. Step 3: Cross multiply
    670.10x = 924.72 × 408.14
  4. Step 4: Simplify right side
    670.10x = 377,415.22
  5. Step 5: Solve for x
    x = 377,415.22/670.10
  6. Step 6: Final answer
    x = 563.22

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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.