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Finding the Fourth Proportional to 465.23, 697.57 and 341.90

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Solution

The fourth proportional to 465.23, 697.57 and 341.90 is: 512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.23 : 697.57 = 341.90 : x
  2. Step 2: Convert to fraction form
    465.23/697.57 = 341.90/x
  3. Step 3: Cross multiply
    465.23x = 697.57 × 341.90
  4. Step 4: Simplify right side
    465.23x = 238,501.38
  5. Step 5: Solve for x
    x = 238,501.38/465.23
  6. Step 6: Final answer
    x = 512.66

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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.