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Finding the Fourth Proportional to 690.34, 1,035.69 and 257.50

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Solution

The fourth proportional to 690.34, 1,035.69 and 257.50 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.34 : 1,035.69 = 257.50 : x
  2. Step 2: Convert to fraction form
    690.34/1,035.69 = 257.50/x
  3. Step 3: Cross multiply
    690.34x = 1,035.69 × 257.50
  4. Step 4: Simplify right side
    690.34x = 266,690.18
  5. Step 5: Solve for x
    x = 266,690.18/690.34
  6. Step 6: Final answer
    x = 386.32

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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.