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Finding the Fourth Proportional to 495.06, 742.16 and 470.76

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Solution

The fourth proportional to 495.06, 742.16 and 470.76 is: 705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.06 : 742.16 = 470.76 : x
  2. Step 2: Convert to fraction form
    495.06/742.16 = 470.76/x
  3. Step 3: Cross multiply
    495.06x = 742.16 × 470.76
  4. Step 4: Simplify right side
    495.06x = 349,379.24
  5. Step 5: Solve for x
    x = 349,379.24/495.06
  6. Step 6: Final answer
    x = 705.73

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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.