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Finding the Fourth Proportional to 568.14, 846.49 and 530.88

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Solution

The fourth proportional to 568.14, 846.49 and 530.88 is: 790.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.14 : 846.49 = 530.88 : x
  2. Step 2: Convert to fraction form
    568.14/846.49 = 530.88/x
  3. Step 3: Cross multiply
    568.14x = 846.49 × 530.88
  4. Step 4: Simplify right side
    568.14x = 449,384.61
  5. Step 5: Solve for x
    x = 449,384.61/568.14
  6. Step 6: Final answer
    x = 790.98

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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.