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Finding the Fourth Proportional to 433, 597.54 and 258.45

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Solution

The fourth proportional to 433, 597.54 and 258.45 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433 : 597.54 = 258.45 : x
  2. Step 2: Convert to fraction form
    433/597.54 = 258.45/x
  3. Step 3: Cross multiply
    433x = 597.54 × 258.45
  4. Step 4: Simplify right side
    433x = 154,434.21
  5. Step 5: Solve for x
    x = 154,434.21/433
  6. Step 6: Final answer
    x = 356.66

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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.