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Finding the Fourth Proportional to 466.02, 701.74 and 345.12

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Solution

The fourth proportional to 466.02, 701.74 and 345.12 is: 519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.02 : 701.74 = 345.12 : x
  2. Step 2: Convert to fraction form
    466.02/701.74 = 345.12/x
  3. Step 3: Cross multiply
    466.02x = 701.74 × 345.12
  4. Step 4: Simplify right side
    466.02x = 242,184.51
  5. Step 5: Solve for x
    x = 242,184.51/466.02
  6. Step 6: Final answer
    x = 519.69

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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.