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Finding the Fourth Proportional to 690.54, 953.19 and 457.74

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Solution

The fourth proportional to 690.54, 953.19 and 457.74 is: 631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.54 : 953.19 = 457.74 : x
  2. Step 2: Convert to fraction form
    690.54/953.19 = 457.74/x
  3. Step 3: Cross multiply
    690.54x = 953.19 × 457.74
  4. Step 4: Simplify right side
    690.54x = 436,313.19
  5. Step 5: Solve for x
    x = 436,313.19/690.54
  6. Step 6: Final answer
    x = 631.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.