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Finding the Fourth Proportional to 407.56, 562.68 and 309.75

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Solution

The fourth proportional to 407.56, 562.68 and 309.75 is: 427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.56 : 562.68 = 309.75 : x
  2. Step 2: Convert to fraction form
    407.56/562.68 = 309.75/x
  3. Step 3: Cross multiply
    407.56x = 562.68 × 309.75
  4. Step 4: Simplify right side
    407.56x = 174,285.77
  5. Step 5: Solve for x
    x = 174,285.77/407.56
  6. Step 6: Final answer
    x = 427.64

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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.