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Finding the Fourth Proportional to 520, 714.40 and 436.96

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Solution

The fourth proportional to 520, 714.40 and 436.96 is: 600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520 : 714.40 = 436.96 : x
  2. Step 2: Convert to fraction form
    520/714.40 = 436.96/x
  3. Step 3: Cross multiply
    520x = 714.40 × 436.96
  4. Step 4: Simplify right side
    520x = 312,164.22
  5. Step 5: Solve for x
    x = 312,164.22/520
  6. Step 6: Final answer
    x = 600.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.