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Finding the Fourth Proportional to 690.58, 953.01 and 380.08

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Solution

The fourth proportional to 690.58, 953.01 and 380.08 is: 524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.58 : 953.01 = 380.08 : x
  2. Step 2: Convert to fraction form
    690.58/953.01 = 380.08/x
  3. Step 3: Cross multiply
    690.58x = 953.01 × 380.08
  4. Step 4: Simplify right side
    690.58x = 362,220.04
  5. Step 5: Solve for x
    x = 362,220.04/690.58
  6. Step 6: Final answer
    x = 524.52

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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.