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Finding the Fourth Proportional to 710.64, 980.64 and 415.96

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Solution

The fourth proportional to 710.64, 980.64 and 415.96 is: 574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.64 : 980.64 = 415.96 : x
  2. Step 2: Convert to fraction form
    710.64/980.64 = 415.96/x
  3. Step 3: Cross multiply
    710.64x = 980.64 × 415.96
  4. Step 4: Simplify right side
    710.64x = 407,907.01
  5. Step 5: Solve for x
    x = 407,907.01/710.64
  6. Step 6: Final answer
    x = 574.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.