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Finding the Fourth Proportional to 706.07, 973.35 and 457.34

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Solution

The fourth proportional to 706.07, 973.35 and 457.34 is: 630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.07 : 973.35 = 457.34 : x
  2. Step 2: Convert to fraction form
    706.07/973.35 = 457.34/x
  3. Step 3: Cross multiply
    706.07x = 973.35 × 457.34
  4. Step 4: Simplify right side
    706.07x = 445,147.02
  5. Step 5: Solve for x
    x = 445,147.02/706.07
  6. Step 6: Final answer
    x = 630.46

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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.