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Finding the Fourth Proportional to 707.36, 975.04 and 458.56

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Solution

The fourth proportional to 707.36, 975.04 and 458.56 is: 632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.36 : 975.04 = 458.56 : x
  2. Step 2: Convert to fraction form
    707.36/975.04 = 458.56/x
  3. Step 3: Cross multiply
    707.36x = 975.04 × 458.56
  4. Step 4: Simplify right side
    707.36x = 447,114.34
  5. Step 5: Solve for x
    x = 447,114.34/707.36
  6. Step 6: Final answer
    x = 632.09

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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.