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Finding the Fourth Proportional to 374.84, 516.50 and 357.16

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Solution

The fourth proportional to 374.84, 516.50 and 357.16 is: 492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.84 : 516.50 = 357.16 : x
  2. Step 2: Convert to fraction form
    374.84/516.50 = 357.16/x
  3. Step 3: Cross multiply
    374.84x = 516.50 × 357.16
  4. Step 4: Simplify right side
    374.84x = 184,473.14
  5. Step 5: Solve for x
    x = 184,473.14/374.84
  6. Step 6: Final answer
    x = 492.14

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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.