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Finding the Fourth Proportional to 568.90, 783.86 and 530.80

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Solution

The fourth proportional to 568.90, 783.86 and 530.80 is: 731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.90 : 783.86 = 530.80 : x
  2. Step 2: Convert to fraction form
    568.90/783.86 = 530.80/x
  3. Step 3: Cross multiply
    568.90x = 783.86 × 530.80
  4. Step 4: Simplify right side
    568.90x = 416,072.89
  5. Step 5: Solve for x
    x = 416,072.89/568.90
  6. Step 6: Final answer
    x = 731.36

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