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Finding the Fourth Proportional to 389.01, 536.31 and 264.45

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Solution

The fourth proportional to 389.01, 536.31 and 264.45 is: 364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.01 : 536.31 = 264.45 : x
  2. Step 2: Convert to fraction form
    389.01/536.31 = 264.45/x
  3. Step 3: Cross multiply
    389.01x = 536.31 × 264.45
  4. Step 4: Simplify right side
    389.01x = 141,827.18
  5. Step 5: Solve for x
    x = 141,827.18/389.01
  6. Step 6: Final answer
    x = 364.58

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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.