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Finding the Fourth Proportional to 464.10, 695.43 and 354.24

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Solution

The fourth proportional to 464.10, 695.43 and 354.24 is: 530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.10 : 695.43 = 354.24 : x
  2. Step 2: Convert to fraction form
    464.10/695.43 = 354.24/x
  3. Step 3: Cross multiply
    464.10x = 695.43 × 354.24
  4. Step 4: Simplify right side
    464.10x = 246,349.12
  5. Step 5: Solve for x
    x = 246,349.12/464.10
  6. Step 6: Final answer
    x = 530.81

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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.