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Finding the Fourth Proportional to 470.64, 705.54 and 182.01

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Solution

The fourth proportional to 470.64, 705.54 and 182.01 is: 272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 705.54 = 182.01 : x
  2. Step 2: Convert to fraction form
    470.64/705.54 = 182.01/x
  3. Step 3: Cross multiply
    470.64x = 705.54 × 182.01
  4. Step 4: Simplify right side
    470.64x = 128,415.34
  5. Step 5: Solve for x
    x = 128,415.34/470.64
  6. Step 6: Final answer
    x = 272.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.