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Finding the Fourth Proportional to 904.24, 1,356.35 and 465.61

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Solution

The fourth proportional to 904.24, 1,356.35 and 465.61 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.24 : 1,356.35 = 465.61 : x
  2. Step 2: Convert to fraction form
    904.24/1,356.35 = 465.61/x
  3. Step 3: Cross multiply
    904.24x = 1,356.35 × 465.61
  4. Step 4: Simplify right side
    904.24x = 631,526.95
  5. Step 5: Solve for x
    x = 631,526.95/904.24
  6. Step 6: Final answer
    x = 698.41

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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.