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Finding the Fourth Proportional to 670.12, 924.80 and 421.35

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Solution

The fourth proportional to 670.12, 924.80 and 421.35 is: 581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.12 : 924.80 = 421.35 : x
  2. Step 2: Convert to fraction form
    670.12/924.80 = 421.35/x
  3. Step 3: Cross multiply
    670.12x = 924.80 × 421.35
  4. Step 4: Simplify right side
    670.12x = 389,664.48
  5. Step 5: Solve for x
    x = 389,664.48/670.12
  6. Step 6: Final answer
    x = 581.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.