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Finding the Fourth Proportional to 466.90, 703.06 and 346.02

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Solution

The fourth proportional to 466.90, 703.06 and 346.02 is: 521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.90 : 703.06 = 346.02 : x
  2. Step 2: Convert to fraction form
    466.90/703.06 = 346.02/x
  3. Step 3: Cross multiply
    466.90x = 703.06 × 346.02
  4. Step 4: Simplify right side
    466.90x = 243,272.82
  5. Step 5: Solve for x
    x = 243,272.82/466.90
  6. Step 6: Final answer
    x = 521.04

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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.