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Finding the Fourth Proportional to 648.64, 973.04 and 283.42

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Solution

The fourth proportional to 648.64, 973.04 and 283.42 is: 425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.64 : 973.04 = 283.42 : x
  2. Step 2: Convert to fraction form
    648.64/973.04 = 283.42/x
  3. Step 3: Cross multiply
    648.64x = 973.04 × 283.42
  4. Step 4: Simplify right side
    648.64x = 275,779.00
  5. Step 5: Solve for x
    x = 275,779.00/648.64
  6. Step 6: Final answer
    x = 425.16

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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.