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Finding the Fourth Proportional to 346.15, 519.45 and 313.98

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Solution

The fourth proportional to 346.15, 519.45 and 313.98 is: 471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.15 : 519.45 = 313.98 : x
  2. Step 2: Convert to fraction form
    346.15/519.45 = 313.98/x
  3. Step 3: Cross multiply
    346.15x = 519.45 × 313.98
  4. Step 4: Simplify right side
    346.15x = 163,094.31
  5. Step 5: Solve for x
    x = 163,094.31/346.15
  6. Step 6: Final answer
    x = 471.17

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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.