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Finding the Fourth Proportional to 304.32, 420.48 and 282.72

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Solution

The fourth proportional to 304.32, 420.48 and 282.72 is: 390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 420.48 = 282.72 : x
  2. Step 2: Convert to fraction form
    304.32/420.48 = 282.72/x
  3. Step 3: Cross multiply
    304.32x = 420.48 × 282.72
  4. Step 4: Simplify right side
    304.32x = 118,878.11
  5. Step 5: Solve for x
    x = 118,878.11/304.32
  6. Step 6: Final answer
    x = 390.64

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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.