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Finding the Fourth Proportional to 560.96, 842.16 and 304.64

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Solution

The fourth proportional to 560.96, 842.16 and 304.64 is: 457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.96 : 842.16 = 304.64 : x
  2. Step 2: Convert to fraction form
    560.96/842.16 = 304.64/x
  3. Step 3: Cross multiply
    560.96x = 842.16 × 304.64
  4. Step 4: Simplify right side
    560.96x = 256,555.62
  5. Step 5: Solve for x
    x = 256,555.62/560.96
  6. Step 6: Final answer
    x = 457.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.