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Finding the Fourth Proportional to 685.55, 946.75 and 436.98

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Solution

The fourth proportional to 685.55, 946.75 and 436.98 is: 603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.55 : 946.75 = 436.98 : x
  2. Step 2: Convert to fraction form
    685.55/946.75 = 436.98/x
  3. Step 3: Cross multiply
    685.55x = 946.75 × 436.98
  4. Step 4: Simplify right side
    685.55x = 413,710.82
  5. Step 5: Solve for x
    x = 413,710.82/685.55
  6. Step 6: Final answer
    x = 603.47

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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.