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Finding the Fourth Proportional to 570.21, 784.68 and 554.15

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Solution

The fourth proportional to 570.21, 784.68 and 554.15 is: 762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.21 : 784.68 = 554.15 : x
  2. Step 2: Convert to fraction form
    570.21/784.68 = 554.15/x
  3. Step 3: Cross multiply
    570.21x = 784.68 × 554.15
  4. Step 4: Simplify right side
    570.21x = 434,826.50
  5. Step 5: Solve for x
    x = 434,826.50/570.21
  6. Step 6: Final answer
    x = 762.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.