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Finding the Fourth Proportional to 557.45, 836.93 and 314.14

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Solution

The fourth proportional to 557.45, 836.93 and 314.14 is: 471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.45 : 836.93 = 314.14 : x
  2. Step 2: Convert to fraction form
    557.45/836.93 = 314.14/x
  3. Step 3: Cross multiply
    557.45x = 836.93 × 314.14
  4. Step 4: Simplify right side
    557.45x = 262,913.19
  5. Step 5: Solve for x
    x = 262,913.19/557.45
  6. Step 6: Final answer
    x = 471.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.