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Finding the Fourth Proportional to 922.84, 1,384.46 and 345.71

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Solution

The fourth proportional to 922.84, 1,384.46 and 345.71 is: 518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.84 : 1,384.46 = 345.71 : x
  2. Step 2: Convert to fraction form
    922.84/1,384.46 = 345.71/x
  3. Step 3: Cross multiply
    922.84x = 1,384.46 × 345.71
  4. Step 4: Simplify right side
    922.84x = 478,621.67
  5. Step 5: Solve for x
    x = 478,621.67/922.84
  6. Step 6: Final answer
    x = 518.64

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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.