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Finding the Fourth Proportional to 569.94, 786.50 and 334.05

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Solution

The fourth proportional to 569.94, 786.50 and 334.05 is: 460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.94 : 786.50 = 334.05 : x
  2. Step 2: Convert to fraction form
    569.94/786.50 = 334.05/x
  3. Step 3: Cross multiply
    569.94x = 786.50 × 334.05
  4. Step 4: Simplify right side
    569.94x = 262,730.33
  5. Step 5: Solve for x
    x = 262,730.33/569.94
  6. Step 6: Final answer
    x = 460.98

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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.