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Finding the Fourth Proportional to 569.84, 786.48 and 348.98

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Solution

The fourth proportional to 569.84, 786.48 and 348.98 is: 481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.84 : 786.48 = 348.98 : x
  2. Step 2: Convert to fraction form
    569.84/786.48 = 348.98/x
  3. Step 3: Cross multiply
    569.84x = 786.48 × 348.98
  4. Step 4: Simplify right side
    569.84x = 274,465.79
  5. Step 5: Solve for x
    x = 274,465.79/569.84
  6. Step 6: Final answer
    x = 481.65

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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.