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Finding the Fourth Proportional to 347.48, 480.03 and 294.93

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Solution

The fourth proportional to 347.48, 480.03 and 294.93 is: 407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.48 : 480.03 = 294.93 : x
  2. Step 2: Convert to fraction form
    347.48/480.03 = 294.93/x
  3. Step 3: Cross multiply
    347.48x = 480.03 × 294.93
  4. Step 4: Simplify right side
    347.48x = 141,575.25
  5. Step 5: Solve for x
    x = 141,575.25/347.48
  6. Step 6: Final answer
    x = 407.44

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Why These Related Problems?

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