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Finding the Fourth Proportional to 926.50, 1,389.58 and 341.41

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Solution

The fourth proportional to 926.50, 1,389.58 and 341.41 is: 512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.50 : 1,389.58 = 341.41 : x
  2. Step 2: Convert to fraction form
    926.50/1,389.58 = 341.41/x
  3. Step 3: Cross multiply
    926.50x = 1,389.58 × 341.41
  4. Step 4: Simplify right side
    926.50x = 474,416.51
  5. Step 5: Solve for x
    x = 474,416.51/926.50
  6. Step 6: Final answer
    x = 512.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.