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Finding the Fourth Proportional to 407.07, 561.74 and 230.00

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Solution

The fourth proportional to 407.07, 561.74 and 230.00 is: 317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.07 : 561.74 = 230.00 : x
  2. Step 2: Convert to fraction form
    407.07/561.74 = 230.00/x
  3. Step 3: Cross multiply
    407.07x = 561.74 × 230.00
  4. Step 4: Simplify right side
    407.07x = 129,196.24
  5. Step 5: Solve for x
    x = 129,196.24/407.07
  6. Step 6: Final answer
    x = 317.38

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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.