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Finding the Fourth Proportional to 407.16, 561.45 and 259.80

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Solution

The fourth proportional to 407.16, 561.45 and 259.80 is: 358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.16 : 561.45 = 259.80 : x
  2. Step 2: Convert to fraction form
    407.16/561.45 = 259.80/x
  3. Step 3: Cross multiply
    407.16x = 561.45 × 259.80
  4. Step 4: Simplify right side
    407.16x = 145,864.71
  5. Step 5: Solve for x
    x = 145,864.71/407.16
  6. Step 6: Final answer
    x = 358.25

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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.