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Finding the Fourth Proportional to 564.86, 780.04 and 534.18

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Solution

The fourth proportional to 564.86, 780.04 and 534.18 is: 737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.86 : 780.04 = 534.18 : x
  2. Step 2: Convert to fraction form
    564.86/780.04 = 534.18/x
  3. Step 3: Cross multiply
    564.86x = 780.04 × 534.18
  4. Step 4: Simplify right side
    564.86x = 416,681.77
  5. Step 5: Solve for x
    x = 416,681.77/564.86
  6. Step 6: Final answer
    x = 737.67

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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.