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Finding the Fourth Proportional to 500.55, 746.16 and 473.19

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Solution

The fourth proportional to 500.55, 746.16 and 473.19 is: 705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.55 : 746.16 = 473.19 : x
  2. Step 2: Convert to fraction form
    500.55/746.16 = 473.19/x
  3. Step 3: Cross multiply
    500.55x = 746.16 × 473.19
  4. Step 4: Simplify right side
    500.55x = 353,075.45
  5. Step 5: Solve for x
    x = 353,075.45/500.55
  6. Step 6: Final answer
    x = 705.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.