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Finding the Fourth Proportional to 373.86, 563.85 and 369.77

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Solution

The fourth proportional to 373.86, 563.85 and 369.77 is: 557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.86 : 563.85 = 369.77 : x
  2. Step 2: Convert to fraction form
    373.86/563.85 = 369.77/x
  3. Step 3: Cross multiply
    373.86x = 563.85 × 369.77
  4. Step 4: Simplify right side
    373.86x = 208,492.00
  5. Step 5: Solve for x
    x = 208,492.00/373.86
  6. Step 6: Final answer
    x = 557.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.