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Finding the Fourth Proportional to 561.61, 775.56 and 530.93

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Solution

The fourth proportional to 561.61, 775.56 and 530.93 is: 733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.61 : 775.56 = 530.93 : x
  2. Step 2: Convert to fraction form
    561.61/775.56 = 530.93/x
  3. Step 3: Cross multiply
    561.61x = 775.56 × 530.93
  4. Step 4: Simplify right side
    561.61x = 411,769.01
  5. Step 5: Solve for x
    x = 411,769.01/561.61
  6. Step 6: Final answer
    x = 733.19

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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.