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Finding the Fourth Proportional to 433.04, 597.65 and 258.41

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Solution

The fourth proportional to 433.04, 597.65 and 258.41 is: 356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.04 : 597.65 = 258.41 : x
  2. Step 2: Convert to fraction form
    433.04/597.65 = 258.41/x
  3. Step 3: Cross multiply
    433.04x = 597.65 × 258.41
  4. Step 4: Simplify right side
    433.04x = 154,438.94
  5. Step 5: Solve for x
    x = 154,438.94/433.04
  6. Step 6: Final answer
    x = 356.64

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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.