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Finding the Fourth Proportional to 464.52, 695.90 and 309.98

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Solution

The fourth proportional to 464.52, 695.90 and 309.98 is: 464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.52 : 695.90 = 309.98 : x
  2. Step 2: Convert to fraction form
    464.52/695.90 = 309.98/x
  3. Step 3: Cross multiply
    464.52x = 695.90 × 309.98
  4. Step 4: Simplify right side
    464.52x = 215,715.08
  5. Step 5: Solve for x
    x = 215,715.08/464.52
  6. Step 6: Final answer
    x = 464.38

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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.