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Finding the Fourth Proportional to 904.09, 1,356.45 and 465.70

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Solution

The fourth proportional to 904.09, 1,356.45 and 465.70 is: 698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.09 : 1,356.45 = 465.70 : x
  2. Step 2: Convert to fraction form
    904.09/1,356.45 = 465.70/x
  3. Step 3: Cross multiply
    904.09x = 1,356.45 × 465.70
  4. Step 4: Simplify right side
    904.09x = 631,698.77
  5. Step 5: Solve for x
    x = 631,698.77/904.09
  6. Step 6: Final answer
    x = 698.71

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