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Finding the Fourth Proportional to 469.11, 699.69 and 407.76

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Solution

The fourth proportional to 469.11, 699.69 and 407.76 is: 608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.11 : 699.69 = 407.76 : x
  2. Step 2: Convert to fraction form
    469.11/699.69 = 407.76/x
  3. Step 3: Cross multiply
    469.11x = 699.69 × 407.76
  4. Step 4: Simplify right side
    469.11x = 285,301.06
  5. Step 5: Solve for x
    x = 285,301.06/469.11
  6. Step 6: Final answer
    x = 608.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.