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Finding the Fourth Proportional to 357.98, 492.84 and 340.64

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Solution

The fourth proportional to 357.98, 492.84 and 340.64 is: 468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.98 : 492.84 = 340.64 : x
  2. Step 2: Convert to fraction form
    357.98/492.84 = 340.64/x
  3. Step 3: Cross multiply
    357.98x = 492.84 × 340.64
  4. Step 4: Simplify right side
    357.98x = 167,881.02
  5. Step 5: Solve for x
    x = 167,881.02/357.98
  6. Step 6: Final answer
    x = 468.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.