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Finding the Fourth Proportional to 431.02, 594.34 and 384.95

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Solution

The fourth proportional to 431.02, 594.34 and 384.95 is: 530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.02 : 594.34 = 384.95 : x
  2. Step 2: Convert to fraction form
    431.02/594.34 = 384.95/x
  3. Step 3: Cross multiply
    431.02x = 594.34 × 384.95
  4. Step 4: Simplify right side
    431.02x = 228,791.71
  5. Step 5: Solve for x
    x = 228,791.71/431.02
  6. Step 6: Final answer
    x = 530.81

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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.