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Finding the Fourth Proportional to 346.98, 519.48 and 295.50

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Solution

The fourth proportional to 346.98, 519.48 and 295.50 is: 442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.98 : 519.48 = 295.50 : x
  2. Step 2: Convert to fraction form
    346.98/519.48 = 295.50/x
  3. Step 3: Cross multiply
    346.98x = 519.48 × 295.50
  4. Step 4: Simplify right side
    346.98x = 153,506.34
  5. Step 5: Solve for x
    x = 153,506.34/346.98
  6. Step 6: Final answer
    x = 442.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.