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Finding the Fourth Proportional to 555.48, 766.53 and 342.75

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Solution

The fourth proportional to 555.48, 766.53 and 342.75 is: 472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.48 : 766.53 = 342.75 : x
  2. Step 2: Convert to fraction form
    555.48/766.53 = 342.75/x
  3. Step 3: Cross multiply
    555.48x = 766.53 × 342.75
  4. Step 4: Simplify right side
    555.48x = 262,728.16
  5. Step 5: Solve for x
    x = 262,728.16/555.48
  6. Step 6: Final answer
    x = 472.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.