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Finding the Fourth Proportional to 469.40, 646.77 and 358.67

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Solution

The fourth proportional to 469.40, 646.77 and 358.67 is: 494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.40 : 646.77 = 358.67 : x
  2. Step 2: Convert to fraction form
    469.40/646.77 = 358.67/x
  3. Step 3: Cross multiply
    469.40x = 646.77 × 358.67
  4. Step 4: Simplify right side
    469.40x = 231,977.00
  5. Step 5: Solve for x
    x = 231,977.00/469.40
  6. Step 6: Final answer
    x = 494.20

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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.