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Finding the Fourth Proportional to 427.32, 589.08 and 302.64

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Solution

The fourth proportional to 427.32, 589.08 and 302.64 is: 417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.32 : 589.08 = 302.64 : x
  2. Step 2: Convert to fraction form
    427.32/589.08 = 302.64/x
  3. Step 3: Cross multiply
    427.32x = 589.08 × 302.64
  4. Step 4: Simplify right side
    427.32x = 178,279.17
  5. Step 5: Solve for x
    x = 178,279.17/427.32
  6. Step 6: Final answer
    x = 417.20

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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.