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Finding the Fourth Proportional to 530.81, 732.39 and 432.41

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Solution

The fourth proportional to 530.81, 732.39 and 432.41 is: 596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.81 : 732.39 = 432.41 : x
  2. Step 2: Convert to fraction form
    530.81/732.39 = 432.41/x
  3. Step 3: Cross multiply
    530.81x = 732.39 × 432.41
  4. Step 4: Simplify right side
    530.81x = 316,692.76
  5. Step 5: Solve for x
    x = 316,692.76/530.81
  6. Step 6: Final answer
    x = 596.62

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1.5x scale

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.