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Finding the Fourth Proportional to 505.64, 756.65 and 366.98

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Solution

The fourth proportional to 505.64, 756.65 and 366.98 is: 549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.64 : 756.65 = 366.98 : x
  2. Step 2: Convert to fraction form
    505.64/756.65 = 366.98/x
  3. Step 3: Cross multiply
    505.64x = 756.65 × 366.98
  4. Step 4: Simplify right side
    505.64x = 277,669.80
  5. Step 5: Solve for x
    x = 277,669.80/505.64
  6. Step 6: Final answer
    x = 549.15

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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.