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Finding the Fourth Proportional to 690.64, 953.09 and 380.14

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Solution

The fourth proportional to 690.64, 953.09 and 380.14 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.64 : 953.09 = 380.14 : x
  2. Step 2: Convert to fraction form
    690.64/953.09 = 380.14/x
  3. Step 3: Cross multiply
    690.64x = 953.09 × 380.14
  4. Step 4: Simplify right side
    690.64x = 362,307.63
  5. Step 5: Solve for x
    x = 362,307.63/690.64
  6. Step 6: Final answer
    x = 524.60

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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.