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Finding the Fourth Proportional to 407.07, 561.64 and 259.65

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Solution

The fourth proportional to 407.07, 561.64 and 259.65 is: 358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.07 : 561.64 = 259.65 : x
  2. Step 2: Convert to fraction form
    407.07/561.64 = 259.65/x
  3. Step 3: Cross multiply
    407.07x = 561.64 × 259.65
  4. Step 4: Simplify right side
    407.07x = 145,829.83
  5. Step 5: Solve for x
    x = 145,829.83/407.07
  6. Step 6: Final answer
    x = 358.24

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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.