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Finding the Fourth Proportional to 433.53, 597.92 and 302.45

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Solution

The fourth proportional to 433.53, 597.92 and 302.45 is: 417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.53 : 597.92 = 302.45 : x
  2. Step 2: Convert to fraction form
    433.53/597.92 = 302.45/x
  3. Step 3: Cross multiply
    433.53x = 597.92 × 302.45
  4. Step 4: Simplify right side
    433.53x = 180,836.40
  5. Step 5: Solve for x
    x = 180,836.40/433.53
  6. Step 6: Final answer
    x = 417.13

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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.