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Finding the Fourth Proportional to 377.58, 569.77 and 364.02

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Solution

The fourth proportional to 377.58, 569.77 and 364.02 is: 549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.58 : 569.77 = 364.02 : x
  2. Step 2: Convert to fraction form
    377.58/569.77 = 364.02/x
  3. Step 3: Cross multiply
    377.58x = 569.77 × 364.02
  4. Step 4: Simplify right side
    377.58x = 207,407.68
  5. Step 5: Solve for x
    x = 207,407.68/377.58
  6. Step 6: Final answer
    x = 549.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.