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Finding the Fourth Proportional to 342.74, 473.06 and 210

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Solution

The fourth proportional to 342.74, 473.06 and 210 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.74 : 473.06 = 210 : x
  2. Step 2: Convert to fraction form
    342.74/473.06 = 210/x
  3. Step 3: Cross multiply
    342.74x = 473.06 × 210
  4. Step 4: Simplify right side
    342.74x = 99,342.60
  5. Step 5: Solve for x
    x = 99,342.60/342.74
  6. Step 6: Final answer
    x = 289.85

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