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Finding the Fourth Proportional to 569.36, 786.11 and 420.00

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Solution

The fourth proportional to 569.36, 786.11 and 420.00 is: 579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.36 : 786.11 = 420.00 : x
  2. Step 2: Convert to fraction form
    569.36/786.11 = 420.00/x
  3. Step 3: Cross multiply
    569.36x = 786.11 × 420.00
  4. Step 4: Simplify right side
    569.36x = 330,166.07
  5. Step 5: Solve for x
    x = 330,166.07/569.36
  6. Step 6: Final answer
    x = 579.89

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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.