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Finding the Fourth Proportional to 474.93, 711.79 and 469.77

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Solution

The fourth proportional to 474.93, 711.79 and 469.77 is: 704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.93 : 711.79 = 469.77 : x
  2. Step 2: Convert to fraction form
    474.93/711.79 = 469.77/x
  3. Step 3: Cross multiply
    474.93x = 711.79 × 469.77
  4. Step 4: Simplify right side
    474.93x = 334,373.74
  5. Step 5: Solve for x
    x = 334,373.74/474.93
  6. Step 6: Final answer
    x = 704.05

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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.