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Finding the Fourth Proportional to 642.98, 887.19 and 407.00

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Solution

The fourth proportional to 642.98, 887.19 and 407.00 is: 561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.98 : 887.19 = 407.00 : x
  2. Step 2: Convert to fraction form
    642.98/887.19 = 407.00/x
  3. Step 3: Cross multiply
    642.98x = 887.19 × 407.00
  4. Step 4: Simplify right side
    642.98x = 361,087.02
  5. Step 5: Solve for x
    x = 361,087.02/642.98
  6. Step 6: Final answer
    x = 561.58

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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.