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Finding the Fourth Proportional to 555.26, 766.50 and 368.96

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Solution

The fourth proportional to 555.26, 766.50 and 368.96 is: 509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.26 : 766.50 = 368.96 : x
  2. Step 2: Convert to fraction form
    555.26/766.50 = 368.96/x
  3. Step 3: Cross multiply
    555.26x = 766.50 × 368.96
  4. Step 4: Simplify right side
    555.26x = 282,807.84
  5. Step 5: Solve for x
    x = 282,807.84/555.26
  6. Step 6: Final answer
    x = 509.33

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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.