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Finding the Fourth Proportional to 432.56, 597.04 and 258.01

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Solution

The fourth proportional to 432.56, 597.04 and 258.01 is: 356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 597.04 = 258.01 : x
  2. Step 2: Convert to fraction form
    432.56/597.04 = 258.01/x
  3. Step 3: Cross multiply
    432.56x = 597.04 × 258.01
  4. Step 4: Simplify right side
    432.56x = 154,040.15
  5. Step 5: Solve for x
    x = 154,040.15/432.56
  6. Step 6: Final answer
    x = 356.11

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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.