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Finding the Fourth Proportional to 365.34, 544.23 and 342.93

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Solution

The fourth proportional to 365.34, 544.23 and 342.93 is: 510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.34 : 544.23 = 342.93 : x
  2. Step 2: Convert to fraction form
    365.34/544.23 = 342.93/x
  3. Step 3: Cross multiply
    365.34x = 544.23 × 342.93
  4. Step 4: Simplify right side
    365.34x = 186,632.79
  5. Step 5: Solve for x
    x = 186,632.79/365.34
  6. Step 6: Final answer
    x = 510.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.