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Finding the Fourth Proportional to 669.54, 924.54 and 530.40

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Solution

The fourth proportional to 669.54, 924.54 and 530.40 is: 732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.54 : 924.54 = 530.40 : x
  2. Step 2: Convert to fraction form
    669.54/924.54 = 530.40/x
  3. Step 3: Cross multiply
    669.54x = 924.54 × 530.40
  4. Step 4: Simplify right side
    669.54x = 490,376.02
  5. Step 5: Solve for x
    x = 490,376.02/669.54
  6. Step 6: Final answer
    x = 732.41

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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.