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Finding the Fourth Proportional to 459.41, 633.71 and 302.06

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Solution

The fourth proportional to 459.41, 633.71 and 302.06 is: 416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.41 : 633.71 = 302.06 : x
  2. Step 2: Convert to fraction form
    459.41/633.71 = 302.06/x
  3. Step 3: Cross multiply
    459.41x = 633.71 × 302.06
  4. Step 4: Simplify right side
    459.41x = 191,420.78
  5. Step 5: Solve for x
    x = 191,420.78/459.41
  6. Step 6: Final answer
    x = 416.67

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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.