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Finding the Fourth Proportional to 569.99, 787.32 and 423.28

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Solution

The fourth proportional to 569.99, 787.32 and 423.28 is: 584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.99 : 787.32 = 423.28 : x
  2. Step 2: Convert to fraction form
    569.99/787.32 = 423.28/x
  3. Step 3: Cross multiply
    569.99x = 787.32 × 423.28
  4. Step 4: Simplify right side
    569.99x = 333,253.37
  5. Step 5: Solve for x
    x = 333,253.37/569.99
  6. Step 6: Final answer
    x = 584.67

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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.