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Finding the Fourth Proportional to 530.72, 727.55 and 522.21

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Solution

The fourth proportional to 530.72, 727.55 and 522.21 is: 715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.72 : 727.55 = 522.21 : x
  2. Step 2: Convert to fraction form
    530.72/727.55 = 522.21/x
  3. Step 3: Cross multiply
    530.72x = 727.55 × 522.21
  4. Step 4: Simplify right side
    530.72x = 379,931.27
  5. Step 5: Solve for x
    x = 379,931.27/530.72
  6. Step 6: Final answer
    x = 715.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.