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Finding the Fourth Proportional to 341.28, 509.64 and 298.08

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Solution

The fourth proportional to 341.28, 509.64 and 298.08 is: 445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.28 : 509.64 = 298.08 : x
  2. Step 2: Convert to fraction form
    341.28/509.64 = 298.08/x
  3. Step 3: Cross multiply
    341.28x = 509.64 × 298.08
  4. Step 4: Simplify right side
    341.28x = 151,913.49
  5. Step 5: Solve for x
    x = 151,913.49/341.28
  6. Step 6: Final answer
    x = 445.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.