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Finding the Fourth Proportional to 395.42, 546.40 and 302.00

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Solution

The fourth proportional to 395.42, 546.40 and 302.00 is: 417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.42 : 546.40 = 302.00 : x
  2. Step 2: Convert to fraction form
    395.42/546.40 = 302.00/x
  3. Step 3: Cross multiply
    395.42x = 546.40 × 302.00
  4. Step 4: Simplify right side
    395.42x = 165,010.07
  5. Step 5: Solve for x
    x = 165,010.07/395.42
  6. Step 6: Final answer
    x = 417.31

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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.