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Finding the Fourth Proportional to 559.98, 840.38 and 312.93

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Solution

The fourth proportional to 559.98, 840.38 and 312.93 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.98 : 840.38 = 312.93 : x
  2. Step 2: Convert to fraction form
    559.98/840.38 = 312.93/x
  3. Step 3: Cross multiply
    559.98x = 840.38 × 312.93
  4. Step 4: Simplify right side
    559.98x = 262,978.55
  5. Step 5: Solve for x
    x = 262,978.55/559.98
  6. Step 6: Final answer
    x = 469.62

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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.