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Finding the Fourth Proportional to 407.12, 561.21 and 259.70

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Solution

The fourth proportional to 407.12, 561.21 and 259.70 is: 357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.12 : 561.21 = 259.70 : x
  2. Step 2: Convert to fraction form
    407.12/561.21 = 259.70/x
  3. Step 3: Cross multiply
    407.12x = 561.21 × 259.70
  4. Step 4: Simplify right side
    407.12x = 145,746.24
  5. Step 5: Solve for x
    x = 145,746.24/407.12
  6. Step 6: Final answer
    x = 357.99

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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.