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Finding the Fourth Proportional to 409.63, 565.71 and 383.51

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Solution

The fourth proportional to 409.63, 565.71 and 383.51 is: 529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 565.71 = 383.51 : x
  2. Step 2: Convert to fraction form
    409.63/565.71 = 383.51/x
  3. Step 3: Cross multiply
    409.63x = 565.71 × 383.51
  4. Step 4: Simplify right side
    409.63x = 216,955.44
  5. Step 5: Solve for x
    x = 216,955.44/409.63
  6. Step 6: Final answer
    x = 529.64

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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.