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Finding the Fourth Proportional to 670.23, 924.06 and 433.76

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Solution

The fourth proportional to 670.23, 924.06 and 433.76 is: 598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.23 : 924.06 = 433.76 : x
  2. Step 2: Convert to fraction form
    670.23/924.06 = 433.76/x
  3. Step 3: Cross multiply
    670.23x = 924.06 × 433.76
  4. Step 4: Simplify right side
    670.23x = 400,820.27
  5. Step 5: Solve for x
    x = 400,820.27/670.23
  6. Step 6: Final answer
    x = 598.03

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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.