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Finding the Fourth Proportional to 403.76, 555.93 and 304.31

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Solution

The fourth proportional to 403.76, 555.93 and 304.31 is: 419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.76 : 555.93 = 304.31 : x
  2. Step 2: Convert to fraction form
    403.76/555.93 = 304.31/x
  3. Step 3: Cross multiply
    403.76x = 555.93 × 304.31
  4. Step 4: Simplify right side
    403.76x = 169,176.45
  5. Step 5: Solve for x
    x = 169,176.45/403.76
  6. Step 6: Final answer
    x = 419.01

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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.