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Finding the Fourth Proportional to 466.16, 696.32 and 350

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Solution

The fourth proportional to 466.16, 696.32 and 350 is: 522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.16 : 696.32 = 350 : x
  2. Step 2: Convert to fraction form
    466.16/696.32 = 350/x
  3. Step 3: Cross multiply
    466.16x = 696.32 × 350
  4. Step 4: Simplify right side
    466.16x = 243,712.00
  5. Step 5: Solve for x
    x = 243,712.00/466.16
  6. Step 6: Final answer
    x = 522.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.