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Finding the Fourth Proportional to 595.28, 889.58 and 522.38

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Solution

The fourth proportional to 595.28, 889.58 and 522.38 is: 780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.28 : 889.58 = 522.38 : x
  2. Step 2: Convert to fraction form
    595.28/889.58 = 522.38/x
  3. Step 3: Cross multiply
    595.28x = 889.58 × 522.38
  4. Step 4: Simplify right side
    595.28x = 464,698.80
  5. Step 5: Solve for x
    x = 464,698.80/595.28
  6. Step 6: Final answer
    x = 780.64

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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.