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Finding the Fourth Proportional to 628.47, 866.93 and 431.64

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Solution

The fourth proportional to 628.47, 866.93 and 431.64 is: 595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.47 : 866.93 = 431.64 : x
  2. Step 2: Convert to fraction form
    628.47/866.93 = 431.64/x
  3. Step 3: Cross multiply
    628.47x = 866.93 × 431.64
  4. Step 4: Simplify right side
    628.47x = 374,199.51
  5. Step 5: Solve for x
    x = 374,199.51/628.47
  6. Step 6: Final answer
    x = 595.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.