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Finding the Fourth Proportional to 670.93, 924.75 and 460.73

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Solution

The fourth proportional to 670.93, 924.75 and 460.73 is: 635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.93 : 924.75 = 460.73 : x
  2. Step 2: Convert to fraction form
    670.93/924.75 = 460.73/x
  3. Step 3: Cross multiply
    670.93x = 924.75 × 460.73
  4. Step 4: Simplify right side
    670.93x = 426,060.07
  5. Step 5: Solve for x
    x = 426,060.07/670.93
  6. Step 6: Final answer
    x = 635.03

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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.