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Finding the Fourth Proportional to 569.96, 854.62 and 313.64

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Solution

The fourth proportional to 569.96, 854.62 and 313.64 is: 470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.96 : 854.62 = 313.64 : x
  2. Step 2: Convert to fraction form
    569.96/854.62 = 313.64/x
  3. Step 3: Cross multiply
    569.96x = 854.62 × 313.64
  4. Step 4: Simplify right side
    569.96x = 268,043.02
  5. Step 5: Solve for x
    x = 268,043.02/569.96
  6. Step 6: Final answer
    x = 470.28

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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.