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Finding the Fourth Proportional to 566.03, 842.73 and 557.93

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Solution

The fourth proportional to 566.03, 842.73 and 557.93 is: 830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.03 : 842.73 = 557.93 : x
  2. Step 2: Convert to fraction form
    566.03/842.73 = 557.93/x
  3. Step 3: Cross multiply
    566.03x = 842.73 × 557.93
  4. Step 4: Simplify right side
    566.03x = 470,184.35
  5. Step 5: Solve for x
    x = 470,184.35/566.03
  6. Step 6: Final answer
    x = 830.67

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Why These Related Problems?

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