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Finding the Fourth Proportional to 342.18, 510.03 and 330.93

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Solution

The fourth proportional to 342.18, 510.03 and 330.93 is: 493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.18 : 510.03 = 330.93 : x
  2. Step 2: Convert to fraction form
    342.18/510.03 = 330.93/x
  3. Step 3: Cross multiply
    342.18x = 510.03 × 330.93
  4. Step 4: Simplify right side
    342.18x = 168,782.57
  5. Step 5: Solve for x
    x = 168,782.57/342.18
  6. Step 6: Final answer
    x = 493.26

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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.