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Finding the Fourth Proportional to 436.16, 601.86 and 259.10

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Solution

The fourth proportional to 436.16, 601.86 and 259.10 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.16 : 601.86 = 259.10 : x
  2. Step 2: Convert to fraction form
    436.16/601.86 = 259.10/x
  3. Step 3: Cross multiply
    436.16x = 601.86 × 259.10
  4. Step 4: Simplify right side
    436.16x = 155,941.93
  5. Step 5: Solve for x
    x = 155,941.93/436.16
  6. Step 6: Final answer
    x = 357.53

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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.