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Finding the Fourth Proportional to 432.96, 597.44 and 302.26

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Solution

The fourth proportional to 432.96, 597.44 and 302.26 is: 417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.96 : 597.44 = 302.26 : x
  2. Step 2: Convert to fraction form
    432.96/597.44 = 302.26/x
  3. Step 3: Cross multiply
    432.96x = 597.44 × 302.26
  4. Step 4: Simplify right side
    432.96x = 180,582.21
  5. Step 5: Solve for x
    x = 180,582.21/432.96
  6. Step 6: Final answer
    x = 417.09

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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.