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Finding the Fourth Proportional to 569.88, 786.63 and 337

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Solution

The fourth proportional to 569.88, 786.63 and 337 is: 465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.88 : 786.63 = 337 : x
  2. Step 2: Convert to fraction form
    569.88/786.63 = 337/x
  3. Step 3: Cross multiply
    569.88x = 786.63 × 337
  4. Step 4: Simplify right side
    569.88x = 265,094.31
  5. Step 5: Solve for x
    x = 265,094.31/569.88
  6. Step 6: Final answer
    x = 465.18

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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.