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Finding the Fourth Proportional to 466.99, 703.24 and 375.86

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Solution

The fourth proportional to 466.99, 703.24 and 375.86 is: 566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.99 : 703.24 = 375.86 : x
  2. Step 2: Convert to fraction form
    466.99/703.24 = 375.86/x
  3. Step 3: Cross multiply
    466.99x = 703.24 × 375.86
  4. Step 4: Simplify right side
    466.99x = 264,320.60
  5. Step 5: Solve for x
    x = 264,320.60/466.99
  6. Step 6: Final answer
    x = 566.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.