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Finding the Fourth Proportional to 313.63, 469.94 and 210.53

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Solution

The fourth proportional to 313.63, 469.94 and 210.53 is: 315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.63 : 469.94 = 210.53 : x
  2. Step 2: Convert to fraction form
    313.63/469.94 = 210.53/x
  3. Step 3: Cross multiply
    313.63x = 469.94 × 210.53
  4. Step 4: Simplify right side
    313.63x = 98,936.47
  5. Step 5: Solve for x
    x = 98,936.47/313.63
  6. Step 6: Final answer
    x = 315.46

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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.