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Finding the Fourth Proportional to 455.84, 629.40 and 454.93

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Solution

The fourth proportional to 455.84, 629.40 and 454.93 is: 628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.84 : 629.40 = 454.93 : x
  2. Step 2: Convert to fraction form
    455.84/629.40 = 454.93/x
  3. Step 3: Cross multiply
    455.84x = 629.40 × 454.93
  4. Step 4: Simplify right side
    455.84x = 286,333.07
  5. Step 5: Solve for x
    x = 286,333.07/455.84
  6. Step 6: Final answer
    x = 628.15

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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.