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Finding the Fourth Proportional to 464.99, 697.70 and 259.72

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Solution

The fourth proportional to 464.99, 697.70 and 259.72 is: 389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.99 : 697.70 = 259.72 : x
  2. Step 2: Convert to fraction form
    464.99/697.70 = 259.72/x
  3. Step 3: Cross multiply
    464.99x = 697.70 × 259.72
  4. Step 4: Simplify right side
    464.99x = 181,205.55
  5. Step 5: Solve for x
    x = 181,205.55/464.99
  6. Step 6: Final answer
    x = 389.70

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Why These Related Problems?

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