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Finding the Fourth Proportional to 467.02, 703.26 and 346.14

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Solution

The fourth proportional to 467.02, 703.26 and 346.14 is: 521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.02 : 703.26 = 346.14 : x
  2. Step 2: Convert to fraction form
    467.02/703.26 = 346.14/x
  3. Step 3: Cross multiply
    467.02x = 703.26 × 346.14
  4. Step 4: Simplify right side
    467.02x = 243,426.42
  5. Step 5: Solve for x
    x = 243,426.42/467.02
  6. Step 6: Final answer
    x = 521.23

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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.