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Finding the Fourth Proportional to 707.22, 975.78 and 458.10

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Solution

The fourth proportional to 707.22, 975.78 and 458.10 is: 632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.22 : 975.78 = 458.10 : x
  2. Step 2: Convert to fraction form
    707.22/975.78 = 458.10/x
  3. Step 3: Cross multiply
    707.22x = 975.78 × 458.10
  4. Step 4: Simplify right side
    707.22x = 447,004.82
  5. Step 5: Solve for x
    x = 447,004.82/707.22
  6. Step 6: Final answer
    x = 632.06

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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.