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Finding the Fourth Proportional to 431.40, 646.34 and 376.08

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Solution

The fourth proportional to 431.40, 646.34 and 376.08 is: 563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.40 : 646.34 = 376.08 : x
  2. Step 2: Convert to fraction form
    431.40/646.34 = 376.08/x
  3. Step 3: Cross multiply
    431.40x = 646.34 × 376.08
  4. Step 4: Simplify right side
    431.40x = 243,075.55
  5. Step 5: Solve for x
    x = 243,075.55/431.40
  6. Step 6: Final answer
    x = 563.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.