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Finding the Fourth Proportional to 505.32, 756.76 and 342.51

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Solution

The fourth proportional to 505.32, 756.76 and 342.51 is: 512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.32 : 756.76 = 342.51 : x
  2. Step 2: Convert to fraction form
    505.32/756.76 = 342.51/x
  3. Step 3: Cross multiply
    505.32x = 756.76 × 342.51
  4. Step 4: Simplify right side
    505.32x = 259,192.37
  5. Step 5: Solve for x
    x = 259,192.37/505.32
  6. Step 6: Final answer
    x = 512.93

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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.