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Finding the Fourth Proportional to 377.65, 565.98 and 368.11

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Solution

The fourth proportional to 377.65, 565.98 and 368.11 is: 551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.65 : 565.98 = 368.11 : x
  2. Step 2: Convert to fraction form
    377.65/565.98 = 368.11/x
  3. Step 3: Cross multiply
    377.65x = 565.98 × 368.11
  4. Step 4: Simplify right side
    377.65x = 208,342.90
  5. Step 5: Solve for x
    x = 208,342.90/377.65
  6. Step 6: Final answer
    x = 551.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.