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Finding the Fourth Proportional to 675.36, 931.48 and 509.60

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Solution

The fourth proportional to 675.36, 931.48 and 509.60 is: 702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.36 : 931.48 = 509.60 : x
  2. Step 2: Convert to fraction form
    675.36/931.48 = 509.60/x
  3. Step 3: Cross multiply
    675.36x = 931.48 × 509.60
  4. Step 4: Simplify right side
    675.36x = 474,682.21
  5. Step 5: Solve for x
    x = 474,682.21/675.36
  6. Step 6: Final answer
    x = 702.86

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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.