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Finding the Fourth Proportional to 430.84, 646.40 and 384.90

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Solution

The fourth proportional to 430.84, 646.40 and 384.90 is: 577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.84 : 646.40 = 384.90 : x
  2. Step 2: Convert to fraction form
    430.84/646.40 = 384.90/x
  3. Step 3: Cross multiply
    430.84x = 646.40 × 384.90
  4. Step 4: Simplify right side
    430.84x = 248,797.90
  5. Step 5: Solve for x
    x = 248,797.90/430.84
  6. Step 6: Final answer
    x = 577.47

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