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Finding the Fourth Proportional to 670.22, 924.36 and 512.90

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Solution

The fourth proportional to 670.22, 924.36 and 512.90 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.22 : 924.36 = 512.90 : x
  2. Step 2: Convert to fraction form
    670.22/924.36 = 512.90/x
  3. Step 3: Cross multiply
    670.22x = 924.36 × 512.90
  4. Step 4: Simplify right side
    670.22x = 474,104.24
  5. Step 5: Solve for x
    x = 474,104.24/670.22
  6. Step 6: Final answer
    x = 707.39

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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.