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Finding the Fourth Proportional to 464.13, 697.95 and 436.77

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Solution

The fourth proportional to 464.13, 697.95 and 436.77 is: 656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 697.95 = 436.77 : x
  2. Step 2: Convert to fraction form
    464.13/697.95 = 436.77/x
  3. Step 3: Cross multiply
    464.13x = 697.95 × 436.77
  4. Step 4: Simplify right side
    464.13x = 304,843.62
  5. Step 5: Solve for x
    x = 304,843.62/464.13
  6. Step 6: Final answer
    x = 656.81

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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.