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Finding the Fourth Proportional to 670.04, 1,004.64 and 259.16

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Solution

The fourth proportional to 670.04, 1,004.64 and 259.16 is: 388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.04 : 1,004.64 = 259.16 : x
  2. Step 2: Convert to fraction form
    670.04/1,004.64 = 259.16/x
  3. Step 3: Cross multiply
    670.04x = 1,004.64 × 259.16
  4. Step 4: Simplify right side
    670.04x = 260,362.50
  5. Step 5: Solve for x
    x = 260,362.50/670.04
  6. Step 6: Final answer
    x = 388.58

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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.