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Finding the Fourth Proportional to 333.72, 498.93 and 282.93

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Solution

The fourth proportional to 333.72, 498.93 and 282.93 is: 423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.72 : 498.93 = 282.93 : x
  2. Step 2: Convert to fraction form
    333.72/498.93 = 282.93/x
  3. Step 3: Cross multiply
    333.72x = 498.93 × 282.93
  4. Step 4: Simplify right side
    333.72x = 141,162.26
  5. Step 5: Solve for x
    x = 141,162.26/333.72
  6. Step 6: Final answer
    x = 423.00

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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.