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Finding the Fourth Proportional to 1,590.37, 2,385.69 and 420.38

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Solution

The fourth proportional to 1,590.37, 2,385.69 and 420.38 is: 630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.37 : 2,385.69 = 420.38 : x
  2. Step 2: Convert to fraction form
    1,590.37/2,385.69 = 420.38/x
  3. Step 3: Cross multiply
    1,590.37x = 2,385.69 × 420.38
  4. Step 4: Simplify right side
    1,590.37x = 1,002,890.22
  5. Step 5: Solve for x
    x = 1,002,890.22/1,590.37
  6. Step 6: Final answer
    x = 630.60

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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.