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Finding the Fourth Proportional to 904.69, 1,354.51 and 465

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Solution

The fourth proportional to 904.69, 1,354.51 and 465 is: 696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.69 : 1,354.51 = 465 : x
  2. Step 2: Convert to fraction form
    904.69/1,354.51 = 465/x
  3. Step 3: Cross multiply
    904.69x = 1,354.51 × 465
  4. Step 4: Simplify right side
    904.69x = 629,847.15
  5. Step 5: Solve for x
    x = 629,847.15/904.69
  6. Step 6: Final answer
    x = 696.20

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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.