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Finding the Fourth Proportional to 670.88, 926.24 and 461.40

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Solution

The fourth proportional to 670.88, 926.24 and 461.40 is: 637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.88 : 926.24 = 461.40 : x
  2. Step 2: Convert to fraction form
    670.88/926.24 = 461.40/x
  3. Step 3: Cross multiply
    670.88x = 926.24 × 461.40
  4. Step 4: Simplify right side
    670.88x = 427,367.14
  5. Step 5: Solve for x
    x = 427,367.14/670.88
  6. Step 6: Final answer
    x = 637.02

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1.5x scale

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.