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Finding the Fourth Proportional to 458.51, 632.70 and 292.77

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Solution

The fourth proportional to 458.51, 632.70 and 292.77 is: 404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.51 : 632.70 = 292.77 : x
  2. Step 2: Convert to fraction form
    458.51/632.70 = 292.77/x
  3. Step 3: Cross multiply
    458.51x = 632.70 × 292.77
  4. Step 4: Simplify right side
    458.51x = 185,235.58
  5. Step 5: Solve for x
    x = 185,235.58/458.51
  6. Step 6: Final answer
    x = 404.00

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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.