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Finding the Fourth Proportional to 530.64, 792.44 and 524.93

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Solution

The fourth proportional to 530.64, 792.44 and 524.93 is: 783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 792.44 = 524.93 : x
  2. Step 2: Convert to fraction form
    530.64/792.44 = 524.93/x
  3. Step 3: Cross multiply
    530.64x = 792.44 × 524.93
  4. Step 4: Simplify right side
    530.64x = 415,968.94
  5. Step 5: Solve for x
    x = 415,968.94/530.64
  6. Step 6: Final answer
    x = 783.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.