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Finding the Fourth Proportional to 704.99, 973.08 and 425.40

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Solution

The fourth proportional to 704.99, 973.08 and 425.40 is: 587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.99 : 973.08 = 425.40 : x
  2. Step 2: Convert to fraction form
    704.99/973.08 = 425.40/x
  3. Step 3: Cross multiply
    704.99x = 973.08 × 425.40
  4. Step 4: Simplify right side
    704.99x = 413,948.23
  5. Step 5: Solve for x
    x = 413,948.23/704.99
  6. Step 6: Final answer
    x = 587.17

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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.