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Finding the Fourth Proportional to 530.88, 732.32 and 412.80

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Solution

The fourth proportional to 530.88, 732.32 and 412.80 is: 569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.88 : 732.32 = 412.80 : x
  2. Step 2: Convert to fraction form
    530.88/732.32 = 412.80/x
  3. Step 3: Cross multiply
    530.88x = 732.32 × 412.80
  4. Step 4: Simplify right side
    530.88x = 302,301.70
  5. Step 5: Solve for x
    x = 302,301.70/530.88
  6. Step 6: Final answer
    x = 569.44

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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.