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Finding the Fourth Proportional to 432.84, 597.48 and 302.23

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Solution

The fourth proportional to 432.84, 597.48 and 302.23 is: 417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 597.48 = 302.23 : x
  2. Step 2: Convert to fraction form
    432.84/597.48 = 302.23/x
  3. Step 3: Cross multiply
    432.84x = 597.48 × 302.23
  4. Step 4: Simplify right side
    432.84x = 180,575.99
  5. Step 5: Solve for x
    x = 180,575.99/432.84
  6. Step 6: Final answer
    x = 417.19

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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.