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Finding the Fourth Proportional to 384.63, 577.74 and 374.38

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Solution

The fourth proportional to 384.63, 577.74 and 374.38 is: 562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.63 : 577.74 = 374.38 : x
  2. Step 2: Convert to fraction form
    384.63/577.74 = 374.38/x
  3. Step 3: Cross multiply
    384.63x = 577.74 × 374.38
  4. Step 4: Simplify right side
    384.63x = 216,292.86
  5. Step 5: Solve for x
    x = 216,292.86/384.63
  6. Step 6: Final answer
    x = 562.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.