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Finding the Fourth Proportional to 432.90, 597.36 and 258.24

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Solution

The fourth proportional to 432.90, 597.36 and 258.24 is: 356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 597.36 = 258.24 : x
  2. Step 2: Convert to fraction form
    432.90/597.36 = 258.24/x
  3. Step 3: Cross multiply
    432.90x = 597.36 × 258.24
  4. Step 4: Simplify right side
    432.90x = 154,262.25
  5. Step 5: Solve for x
    x = 154,262.25/432.90
  6. Step 6: Final answer
    x = 356.35

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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.