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Finding the Fourth Proportional to 464.61, 695.54 and 310.01

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Solution

The fourth proportional to 464.61, 695.54 and 310.01 is: 464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.61 : 695.54 = 310.01 : x
  2. Step 2: Convert to fraction form
    464.61/695.54 = 310.01/x
  3. Step 3: Cross multiply
    464.61x = 695.54 × 310.01
  4. Step 4: Simplify right side
    464.61x = 215,621.65
  5. Step 5: Solve for x
    x = 215,621.65/464.61
  6. Step 6: Final answer
    x = 464.09

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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.