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Finding the Fourth Proportional to 569.26, 785.58 and 336.40

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Solution

The fourth proportional to 569.26, 785.58 and 336.40 is: 464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.26 : 785.58 = 336.40 : x
  2. Step 2: Convert to fraction form
    569.26/785.58 = 336.40/x
  3. Step 3: Cross multiply
    569.26x = 785.58 × 336.40
  4. Step 4: Simplify right side
    569.26x = 264,269.11
  5. Step 5: Solve for x
    x = 264,269.11/569.26
  6. Step 6: Final answer
    x = 464.23

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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.