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Finding the Fourth Proportional to 436.08, 601.60 and 278.76

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Solution

The fourth proportional to 436.08, 601.60 and 278.76 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.08 : 601.60 = 278.76 : x
  2. Step 2: Convert to fraction form
    436.08/601.60 = 278.76/x
  3. Step 3: Cross multiply
    436.08x = 601.60 × 278.76
  4. Step 4: Simplify right side
    436.08x = 167,702.02
  5. Step 5: Solve for x
    x = 167,702.02/436.08
  6. Step 6: Final answer
    x = 384.57

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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.