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Finding the Fourth Proportional to 571.05, 788.13 and 423.63

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Solution

The fourth proportional to 571.05, 788.13 and 423.63 is: 584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.05 : 788.13 = 423.63 : x
  2. Step 2: Convert to fraction form
    571.05/788.13 = 423.63/x
  3. Step 3: Cross multiply
    571.05x = 788.13 × 423.63
  4. Step 4: Simplify right side
    571.05x = 333,875.51
  5. Step 5: Solve for x
    x = 333,875.51/571.05
  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.