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Finding the Fourth Proportional to 464.02, 698.76 and 334.93

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Solution

The fourth proportional to 464.02, 698.76 and 334.93 is: 504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 698.76 = 334.93 : x
  2. Step 2: Convert to fraction form
    464.02/698.76 = 334.93/x
  3. Step 3: Cross multiply
    464.02x = 698.76 × 334.93
  4. Step 4: Simplify right side
    464.02x = 234,031.36
  5. Step 5: Solve for x
    x = 234,031.36/464.02
  6. Step 6: Final answer
    x = 504.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.