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Finding the Fourth Proportional to 346.42, 476.64 and 299.64

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Solution

The fourth proportional to 346.42, 476.64 and 299.64 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.42 : 476.64 = 299.64 : x
  2. Step 2: Convert to fraction form
    346.42/476.64 = 299.64/x
  3. Step 3: Cross multiply
    346.42x = 476.64 × 299.64
  4. Step 4: Simplify right side
    346.42x = 142,820.41
  5. Step 5: Solve for x
    x = 142,820.41/346.42
  6. Step 6: Final answer
    x = 412.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.