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Finding the Fourth Proportional to 597.51, 896.37 and 289.58

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Solution

The fourth proportional to 597.51, 896.37 and 289.58 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.51 : 896.37 = 289.58 : x
  2. Step 2: Convert to fraction form
    597.51/896.37 = 289.58/x
  3. Step 3: Cross multiply
    597.51x = 896.37 × 289.58
  4. Step 4: Simplify right side
    597.51x = 259,566.34
  5. Step 5: Solve for x
    x = 259,566.34/597.51
  6. Step 6: Final answer
    x = 434.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.