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Finding the Fourth Proportional to 341.02, 470.34 and 210.10

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Solution

The fourth proportional to 341.02, 470.34 and 210.10 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.02 : 470.34 = 210.10 : x
  2. Step 2: Convert to fraction form
    341.02/470.34 = 210.10/x
  3. Step 3: Cross multiply
    341.02x = 470.34 × 210.10
  4. Step 4: Simplify right side
    341.02x = 98,818.43
  5. Step 5: Solve for x
    x = 98,818.43/341.02
  6. Step 6: Final answer
    x = 289.77

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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.