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Finding the Fourth Proportional to 590.07, 815.50 and 485.04

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Solution

The fourth proportional to 590.07, 815.50 and 485.04 is: 670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.07 : 815.50 = 485.04 : x
  2. Step 2: Convert to fraction form
    590.07/815.50 = 485.04/x
  3. Step 3: Cross multiply
    590.07x = 815.50 × 485.04
  4. Step 4: Simplify right side
    590.07x = 395,550.12
  5. Step 5: Solve for x
    x = 395,550.12/590.07
  6. Step 6: Final answer
    x = 670.34

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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.