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Finding the Fourth Proportional to 604.35, 904.77 and 511.81

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Solution

The fourth proportional to 604.35, 904.77 and 511.81 is: 766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.35 : 904.77 = 511.81 : x
  2. Step 2: Convert to fraction form
    604.35/904.77 = 511.81/x
  3. Step 3: Cross multiply
    604.35x = 904.77 × 511.81
  4. Step 4: Simplify right side
    604.35x = 463,071.61
  5. Step 5: Solve for x
    x = 463,071.61/604.35
  6. Step 6: Final answer
    x = 766.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.