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Finding the Fourth Proportional to 566.33, 782.33 and 437.00

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Solution

The fourth proportional to 566.33, 782.33 and 437.00 is: 603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.33 : 782.33 = 437.00 : x
  2. Step 2: Convert to fraction form
    566.33/782.33 = 437.00/x
  3. Step 3: Cross multiply
    566.33x = 782.33 × 437.00
  4. Step 4: Simplify right side
    566.33x = 341,872.11
  5. Step 5: Solve for x
    x = 341,872.11/566.33
  6. Step 6: Final answer
    x = 603.67

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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.